Various Ratios Worksheets Page 3
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14EXERCISES
Practice
Complete each exercise using the information in the figures. Find each
tangent to the nearest tenth. Find the measure of each angle to the nearest
.
degree
B
R
D
21 yd
F
10 in.
15 cm
24 in.
9 cm
20 yd
Z
29 yd
26 in.
A
C
E
12 cm
Y
10. tan A
11. tan B
12. m A
13. m B
14. tan Z
15. tan E
16. m Z
17. m E
18. tan F
19. tan Y
20. m F
21. m Y
Find the value of x to the nearest tenth.
x m
22.
23.
24.
2 mi
65
˚
30
˚
8 m
x in.
40
˚
x mi
4 in.
25. If the leg opposite the 53° angle in a right triangle is 4 inches long, how long is
the other leg to the nearest tenth?
26. If the leg adjacent to a 29° angle in a right triangle is 9 feet long, what is the
measure of the other leg to the nearest tenth?
Applications and
27. Measurement A flagpole casts a shadow
Problem Solving
25 meters long when the angle of elevation
of the Sun is 40°. How tall is the flagpole
to the nearest meter?
40
˚
25 m
28. Surveying A surveyor is finding the
width of a river for a proposed bridge.
A theodolite is used by the surveyor to
measure angles. The distance from the
50
˚
surveyor to the proposed bridge site is
40 ft
40 feet. The surveyor measures a 50°
angle to the bridge site across the river.
Find the length of the bridge to the
nearest foot.
29. They are equal.
29. Critical Thinking In a right triangle, the tangent of one of the acute angles
is 1. Describe how the measures of the two legs are related.
3
Lesson 1 The Tangent Ratio
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