Various Ratios Worksheets Page 10
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1410. Transportation The end of an exit ramp from an interstate highway is
22 feet higher than the highway. If the ramp is 630 feet long, what angle does
it make with the highway? Round to the nearest degree.
EXERCISES
Practice
Complete each exercise using the information in the figures. Find each sine
or cosine to the nearest tenth. Find the measure of each angle to the nearest
degree.
12 in.
34 ft
20 km
21 km
16 in.
16 ft
20 in.
30 ft
29 km
11. sin A
12. sin B
13. cos A
14. cos B
15. m A
16. m B
17. sin R
18. cos R
19. sin S
20. cos S
21. m R
22. m S
23. sin E
24. cos F
25. m E
26. m F
Find the value of x to the nearest tenth or nearest degree.
27.
28.
29.
5 km
x
˚
8.66 km
21.2 cm
13 yd
yd
10 km
˚
15 cm
67
˚
Applications and
30. Home Maintenance A painter props a 20-foot ladder against a house. The
Problem Solving
angle it forms with the ground is 65°. To the nearest foot, how far up the side
of the house does the ladder reach?
31. Surveying A surveyor is 85 meters from
1.6 m
the base of a building. The angle of
elevation to the top of the building is 20°. If
20
˚
her eye level is 1.6 meters above the ground,
85 m
find the height of the building to the nearest
meter.
32. Fire Fighting A fire is sighted
d
from a fire tower at an angle of
2
˚
depression of 2°. If the fire tower
125 ft
has a height of 125 feet, how far
is the fire from the base of the tower?
d
Round to the nearest foot.
33. Critical Thinking Study your answers to Exercises 11–26. Make a
conjecture about the relationship between the sine and cosine of
complementary angles.
10
Trigonometry
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