Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the...
Transcript of Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the...
![Page 1: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/1.jpg)
Sine (sin) =
?
?
![Page 2: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/2.jpg)
hypotenuse
oppositeSine (sin) =
![Page 3: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/3.jpg)
Cosine (cos) =
?
?
![Page 4: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/4.jpg)
hypotenuse
adjacentCosine (cos) =
![Page 5: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/5.jpg)
Tangent (tan) =
?
?
![Page 6: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/6.jpg)
adjacent
oppositeTangent (tan) =
![Page 7: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/7.jpg)
sin D= ?
?
![Page 8: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/8.jpg)
sin𝐷 =𝐴𝐵
𝐴𝐷
![Page 9: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/9.jpg)
cos D= ?
?
![Page 10: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/10.jpg)
cos𝐷 =𝐷𝐵
𝐴𝐷
![Page 11: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/11.jpg)
tan D= ?
?
![Page 12: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/12.jpg)
tan𝐷 =𝐴𝐵
𝐷𝐵
![Page 13: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/13.jpg)
sin A=
C
B
A
5
12
13
?
?
![Page 14: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/14.jpg)
sin A=
C
B
A
5
12
13
13
5
(opposite)
(hypotenuse)
(opposite)
(hypotenuse)
![Page 15: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/15.jpg)
sin B=
C
B
A
5
12
13
?
?
![Page 16: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/16.jpg)
sin B=
C
B
A
5
12
13
13
12
(hypotenuse)
(opposite)
(hypotenuse)
(opposite)
![Page 17: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/17.jpg)
cos B=
C
B
A
5
12
13
?
?
![Page 18: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/18.jpg)
cos B=
C
B
A
5
12
13
13
5 (adjacent)
(hypotenuse)
(adjacent)
(hypotenuse)
![Page 19: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/19.jpg)
tan A=
C
B
A
5
12
13
?
?
![Page 20: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/20.jpg)
tan A=
C
B
A
5
12
13
12
5
(adjacent)
(opposite)
(opposite)
(adjacent)
![Page 21: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/21.jpg)
If the sin𝑂 =3
5for ∆𝑀𝑂𝑁 with
right ∠𝑀, what is the cos𝑁?
![Page 22: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/22.jpg)
If the sin𝑂 =3
5for ∆𝑀𝑂𝑁 with
right ∠𝑀, what is the cos𝑁?
MO
N
sin𝑂 =3
5=
𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒
ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒(hypotenuse)
3
(opposite)5 cos𝑁 =
3
5=
𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡
ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒(adjacent)
![Page 23: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/23.jpg)
If the cos 𝐴 =12
13for ∆𝑀𝐴𝐷 with
right ∠𝑀, what is the sin𝐷?
![Page 24: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/24.jpg)
If the cos 𝐴 =12
13for ∆𝑀𝐴𝐷 with
right ∠𝑀, what is the sin𝐷?
cos 𝐴 =12
13=
𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡
ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒
(hypotenuse)
12
(opposite)13 sin𝐷 =
12
13=
𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒
ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒(adjacent)
MD
A
![Page 25: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/25.jpg)
Which trigonometric expression has the same
value as sin 48°?
![Page 26: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/26.jpg)
Which trigonometric expression has the same
value as sin 48°?
cos 42°
![Page 27: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/27.jpg)
Which trigonometric expression has the same
value as cos 52°?
![Page 28: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/28.jpg)
Which trigonometric expression has the same
value as cos 52°?
sin 38°
![Page 29: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/29.jpg)
Use your calculator and round
to the nearest ten thousandth.
sin 48°= ?
![Page 30: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/30.jpg)
sin 48°= .7431
![Page 31: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/31.jpg)
Use your calculator and round
to the nearest hundredth.
cos 79°= ?
![Page 32: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/32.jpg)
cos 79°= .1908
![Page 33: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/33.jpg)
Use your calculator to find the
measure of the angle to the
nearest tenth degree.
tan A= 4.64
![Page 34: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/34.jpg)
tan A = 4.64
77.8°
![Page 35: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/35.jpg)
Use your calculator to find the
measure of the angle to the
nearest tenth degree.
sin B= .5476
![Page 36: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/36.jpg)
sin B= .5476
33.2°
![Page 37: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/37.jpg)
Find the missing value.
If not exact, round to the nearest
hundredth.
𝑥53°
40
![Page 38: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/38.jpg)
𝑥 (hypotenuse)53°
40 (opposite)
50.09 x
x
4053sin
![Page 39: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/39.jpg)
8.4
𝑥
40°
22
Find the missing value.
If not exact, round to the nearest
hundredth.
![Page 40: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/40.jpg)
𝑋(opposite)
40°
22(adjacent)
18.46 x
22
x40tan
![Page 41: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/41.jpg)
8.4
76°
20
𝑥
Find the missing value.
If not exact, round to the nearest
hundredth.
![Page 42: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/42.jpg)
(adjacent)
(hypotenuse)
76°
20
𝑥
82.67 x
x
2076cos
![Page 43: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/43.jpg)
8.4
15
32°
𝑥
Find the missing value.
If not exact, round to the nearest
hundredth.
![Page 44: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/44.jpg)
15(opposite)
32°𝑥
(adjacent)
24.01 x
x
1532tan
![Page 45: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/45.jpg)
8.4
30
Find the missing value.
If not exact, round to the nearest
hundredth.
![Page 46: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/46.jpg)
30 (hypotenuse)
11.24 x
30
x22sin
![Page 47: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/47.jpg)
8.4
Find the missing value.
If not exact, round to the nearest
hundredth.
𝑥° 37
12
![Page 48: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/48.jpg)
18.92 x
37
12xsin
37
12
Remember, you are findingan angle, therefor you useThe key on your calculator
1sin
𝑥°
![Page 49: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/49.jpg)
8.4
Find the missing value.
If not exact, round to the nearest
hundredth.
x
8
17
![Page 50: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/50.jpg)
64.8 x
8
17xtan
Remember, you are findingan angle, therefor you usethe key on your calculator1tan
x
8
17(opposite)
(adjacent)
![Page 51: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/51.jpg)
8.4
Find the missing value.
If not exact, round to the nearest
hundredth.
18
14
x
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64.8 x
18
14xcos
Remember, you are findingan angle, therefor you usethe key on your calculator1cos
(hypotenuse)
(adjacent)
18
14
x
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Johnny and Jeff are building a skateboard ramp that is
100 centimeters long and rises 75 centimeters. What is
the angle of the ramp (𝑚∠𝐴)?
![Page 54: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/54.jpg)
Johnny and Jeff are building a skateboard ramp that is
100 centimeters long and rises 75 centimeters. What is
the angle of the ramp (𝑚∠𝐴)?(hypotenuse)
(opposite)sin 𝐴 =
75
100
𝐴 = sin−175
100𝐴 = 48.59°
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Find the height of the building to the nearest foot.
63°
85 ft
x
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Find the height of the building to the nearest foot.
63°
85
xtan 63 =
85
𝑎tan 63𝑎
tan 63=
85
tan 63𝑎 = 43 𝑓𝑡
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William is an archaeologist completing field work in Egypt. William
examines an ancient pyramid and determines that each side of the square base
is 220 feet long. The angle of incline of each side of the pyramid is 50°.How tall is the pyramid if the highest point is over the center of the base?
Round your answer to the nearest whole foot.
![Page 58: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/58.jpg)
William is an archaeologist completing field work in Egypt. William
examines an ancient pyramid and determines that each side of the square base
is 220 feet long. The angle of incline of each side of the pyramid is 50°.How tall is the pyramid if the highest point is over the center of the base?
Round your answer to the nearest whole foot.
(opposite)
(adjacent)110
x
tan 50 =𝑥
110𝑥 = 110(tan50)𝑥 = 131 feet
![Page 59: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/59.jpg)
If the quarterback, Q, throws the football 45 yards from one 30-yard line to a
player, P, located on the other 30-yard line, at what angle (∠𝑃𝑄𝑅), to the nearest
degree, did the quarterback have to throw the football?
![Page 60: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/60.jpg)
If the quarterback, Q, throws the football 135 feet from one 30-yard line to a
player, P, located on the other 30-yard line, at what angle (∠𝑃𝑄𝑅), to the nearest
degree, did the quarterback have to throw the football?
cos x =40
45
𝑥 = cos−140
45
𝑥 = 27°
(hypotenuse)
(adjacent)
45
𝑥°40
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An observer at the top of a 60 m lighthouse sights two ships approaching, one
behind the other. The angles of elevation of the ships are 30° and 20°. Find the
distance between the ships to the nearest tenth.
![Page 62: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/62.jpg)
An observer at the top of a 60 m lighthouse sights two ships approaching, one behind the other. The angles of
elevation of the ships are 30° and 20°. Find the distance between the ships to the nearest tenth.
30°
60 m
𝑥
20°
60 m
𝑦
tan 30 =60
𝑥tan 30𝑥
tan 30=
60
tan 30𝑥 = 103.9 𝑚
(adjacent)
(adjacent)
(opposite)
(opposite)
tan 20 =60
𝑦tan 20𝑦
tan 20=
60
tan 20𝑦 = 164.8 𝑚
103.9 m
164.8 m
Final answer: 164.8-103.9=60.9 m
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What variable represents the length of an adjacent leg
for a 50° angle?
50°
ca
t
![Page 64: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/64.jpg)
What variable represents the length of an adjacent leg
for a 50° angle?
50°
ca
t
t
(adjacent)
(opposite)
(hypotenuse)
![Page 65: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/65.jpg)
25°
do
g
Find the measure of d, if o = 20. Round to the nearest whole.
![Page 66: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/66.jpg)
25°
do
g
Find the measure of d, if o = 20. Round to the nearest whole.
20
(opposite)
(hypotenuse)
sin 25 =20
𝑑𝑠𝑖𝑛25 𝑑
sin 25=
20
sin 25
𝑑 = 47
![Page 67: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/67.jpg)
Find the measure of a, if t = 20. Round to the nearest whole.
50°
c
a
t
![Page 68: Sine (sin)pchs.psd202.org/documents/jllink/1516715593.pdf · 2018-01-23 · sin 22. 8.4 Find the missing value. If not exact, round to the nearest hundredth. ° 37 12. q x 18.92 37](https://reader033.fdocuments.in/reader033/viewer/2022041806/5e5462ccf24bf64ea22acd1e/html5/thumbnails/68.jpg)
Find the measure of a, if t = 20. Round to the nearest whole.
50°
ca
t20
(adjacent)
(opposite)
tan 50 =𝑎
2020 tan 50 = 𝑎
29 = 𝑎