Download Section 9.5 HW

Geometry Section 9.5 HW
For problems 1 - 6, write the ratio (using two numbers) for each trigonometric function.
Note: You will need to find the length of XY and remember that you cannot leave a square root in the
denominator of a fraction.
1. sin A __________
7
W
2. cos A __________
X
A
3. tan A __________
4. sin Y __________
13
34
3
B
5
C
Y
5. cos Y__________
6. tan Y __________
Use a calculator to approximate the value of the given trig ratio to the nearest 1000th. Be sure your
calculator is in degree mode.
7. sin 23° __________
8. cos 61° __________
9. tan 37° __________
In problems 10 & 11, solve the equation for x. Round to the nearest 1000th.
10. sin 47 
x
25
11. cos 18 
20
x
12. Consider the following values of the sine ratio.
sin 5° = 0.0872
sin 25° = 0.4226
sin 45° = 0.7071
sin 65° = 0.9063
It appears that the sine of an angle is always less than one. Explain why this is true.
OVER
For problems 13 - 15, find the length of the missing sides in each triangle. Round to the nearest 1000th.
13.
18
14.
15.
x
10
x
18°
y
y
x
71°
y
°
27°
°
12
For problems 16 & 17, round your answer to the nearest 1000th.
16. The angle of elevation to the top of a tree
from a point 150 feet from its base is 41°.
Estimate the height of the tree.
17. A 50-foot ladder is leaning against a building with
an angle of 68° with the ground. How high does the
top of the ladder reach on the building?
For problems 18 - 19, round your answer to the nearest 1000th.
boom
The boom on a construction crane is 125 ft long and sits on top of a
cab that is 12 ft high. The boom is raised to an angle of elevation of 38°.
m
cab
(not drawn to scale)
18. How high is the top of the boom above the ground?
19. How far horizontally is the top of the boom from the cab?