Practice 8-5 : Angles of Elevation & Depression DNG
p. 405
Describe each angle as it relates to the diagram.
ANSWERS:
a. of depression from the birds to the ship
b. of elevation from the ship to the birds
c. of depression from the ship to the submarine
d. of elevation from the submarine to the ship
Practice 8-5 : Angles of Elevation & Depression DNG
p. 405
Describe each angle as it relates to the diagram.
d. of elevation from the sailboat to the person
ANSWERS:
a. of depression from the plane to the person
b. of elevation from the person to the plane
c. of depression from the person to the sailboat
Practice 8-5 : Angles of Elevation & Depression DNG
p. 405
Find the value of x. Round the lengths to the nearest tenth.
Opposite
Adjacent
Hypotenuse
Adjacent
tan 25ยฐ =๐
๐๐๐
cos 32ยฐ =๐
๐๐๐
x = 250 tan 25ยฐ
x โ 116.6 ft
x = 100 cos 32ยฐ
x โ ๐๐.8 ft
Practice 8-5 : Angles of Elevation & Depression DNG
p. 405
Find the value of x. Round the lengths to the nearest tenth.
Opposite
Opposite
Hypotenuse
Adjacent
sin 40ยฐ =๐๐
๐
tan 58ยฐ =๐๐
๐
x =๐๐
๐ฌ๐ข๐ง ๐๐ยฐ
x โ 46.7 ft
x =๐๐
๐ญ๐๐ง ๐๐ยฐ
x โ ๐๐.2 yd
Practice 8-5 : Angles of Elevation & Depression DNG
p. 405
Find the value of x. Round the lengths to the nearest tenth.
Opposite
Hypotenuse
Hypotenuse
Adjacent
sin 28ยฐ =๐๐
๐
cos 22ยฐ =๐๐๐
๐
x =๐๐
๐ฌ๐ข๐ง ๐๐ยฐ
x =๐๐๐
๐๐จ๐ฌ ๐๐ยฐ
x โ 127.8 m
x โ 323.6 m
Practice 8-5 : Angles of Elevation & Depression DNG
p. 405
9. A person standing 30 ft from a flagpole can see the top
of the pole at a 35ยฐ angle of elevation.
a. Draw a diagram.
b. The personโs eye level is 5 ft from the ground.
Find the height of the flagpole to the nearest foot.
30 ft 5 ft
30 ft
35
โ
h
5 ft
x
Adjacent
Opposite
tan 35ยฐ =๐
๐๐
x = 30 tan 35ยฐ
x โ 21 ft
๐ โ ๐๐ ๐๐ + ๐๐๐ โ ๐๐ ๐๐
The flagpole is about 26 feet tall.
QUIZโฆ 2/17/2015 1:59 PM
Two hills are 2 mi apart. The taller hill is 2707 ft. high. The angle
of depression from the top of the taller hill to the top of the shorter
hill is 7ยฐ. Find the height of the shorter hill to the nearest foot.
(1 mi= 5280 ft.) Let x = height of shorter hill
x โ 1410 ft
x x
y
x = 2707 โ ๐
Solve for y: 7) tan 7ยฐ =
๐
๐๐๐๐๐
y = ๐๐๐๐๐ tan ๐ยฐ โ ๐๐๐๐
= ๐ ๐๐๐๐ =10,560 ft
10,560 ft
x = 2707 โ1297
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