Mrs. Rivas Ida S. Baker H.S.

HomeworkWorksheet Practice 8-3 and 8-4Section 8-3In , what is the cosine ratio of ?

𝑐2=𝑎2+𝑏2

7.52=62+𝑏2

√7.52−62=𝑏4.5=𝑏

4.5

𝐜𝐨𝐬 𝒙=𝟒 .𝟓𝟕.𝟓

Mrs. Rivas Ida S. Baker H.S.

HomeworkWorksheet Practice 8-3 and 8-4Section 8-3What is the approximate value of in the diagram below?

2.

sin𝟐𝟓=𝒙𝟏𝟖×𝟏𝟖𝟏𝟖×

𝒙=𝟏𝟖sin𝟐𝟓

𝒙=𝟕 .𝟔

Mrs. Rivas Ida S. Baker H.S.

HomeworkWorksheet Practice 8-3 and 8-4Section 8-3What is the approximate value of in the diagram below?

3.

sin𝟐𝟓=𝟏𝟐𝒙∙ 𝒙𝒙 ∙

𝒙 sin𝟐𝟓=𝟏𝟐sin𝟐𝟓 sin𝟐𝟓

𝒙=𝟏𝟐sin𝟐𝟓

𝒙=𝟐𝟖 .𝟒

Mrs. Rivas Ida S. Baker H.S.

HomeworkWorksheet Practice 8-3 and 8-4Section 8-34. In order to determine the area of a trapezoid, you must know the height. What is the height of the trapezoid shown?

𝒏

𝒏 ¿𝒏√𝟐

𝟓√𝟐𝟐

𝟓√𝟐𝟐𝒉=𝟓√𝟐

𝟐

Mrs. Rivas Ida S. Baker H.S.

HomeworkWorksheet Practice 8-3 and 8-4Section 8-35. In trapezoid ABCD below, what is the value of a, to the nearest tenth of a centimeter?

𝒏√𝟑

𝒏 𝟐𝒏

𝟔√𝟑

𝑎=10+6√3𝒂=𝟐𝟎 .𝟒

Mrs. Rivas Ida S. Baker H.S.

HomeworkWorksheet Practice 8-3 and 8-4Section 8-36. What is the length of the altitude in equilateral triangle ABC?

sin 60=𝑥8

8 ∙ sin 60=𝑥

𝟔 .𝟗=𝒙

Mrs. Rivas Ida S. Baker H.S.

HomeworkWorksheet Practice 8-3 and 8-4Section 8-36. What is the length of the altitude in equilateral triangle ABC?

tan 60=𝑥4

4 ∙ tan 60=𝑥

𝟔 .𝟗=𝒙

Mrs. Rivas Ida S. Baker H.S.

HomeworkWorksheet Practice 8-3 and 8-4Section 8-36. What is the length of the altitude in equilateral triangle ABC?

𝒏

𝒏√𝟑𝟐𝒏

2𝑛=8𝑛=4𝑥=4√3𝒙=𝟔 .𝟗

Mrs. Rivas Ida S. Baker H.S.

HomeworkWorksheet Practice 8-3 and 8-4Section 8-3

7. The picture below represents a 20-foot-tall flagpole that casts a 16-foot-long shadow. The dashed line in the figure represents the point where the shadow ends to the top of the flag. What is the approximate angle of elevation formed by the ground and the dashed line?

𝑻𝒂𝒏 𝒙=𝟐𝟎𝟏𝟔

𝒙=𝒕𝒂𝒏−𝟏 (𝟐𝟎 ÷𝟏𝟔 )

𝒙=𝟓𝟏 .𝟑

Mrs. Rivas Ida S. Baker H.S.

HomeworkWorksheet Practice 8-3 and 8-4Section 8-4

Depression

Elevation

Depression

Elevation

8.

9.

10.

11.

Mrs. Rivas Ida S. Baker H.S.

HomeworkWorksheet Practice 8-3 and 8-4Section 8-4

Tan 45º =60 x

x = 60÷ Tan 45º

x = 60

12.

Mrs. Rivas Ida S. Baker H.S.

HomeworkWorksheet Practice 8-3 and 8-4Section 8-4

Tan 25º = x_ 75

x = 75× 25º

x = 35.0

x = 34.9730

13.