Inverse Functions Answers

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11

Find the angle with a tangent ratio of 0.9325.

A
77°
B
43°
C
13°
D
47°
12

Find tan A for the triangle below.

Question illustration
A
2.5
B
0.4
C
2.67
D
0.375
13

A ship’s sonar detects a submarine 880 feet below a point on the ocean’s surface 1450 ft dead ahead of the ship. To the nearest degree, find the angle x.

Question illustration
A
59º
B
37º
C
31º
D
53º
14

Consider the following triangle. If sin , what is the measure of the angle?

Question illustration
A
53.1º
B
36.9º
C
30.1º
D
59º
15

The Sears Tower in Chicago is 1454 feet high. Sketch and find the angle of elevation from a point 750 feet from the base to the top of the tower. Relate your answer to the nearest tenth.

A
62.7º
B
27.3º
C
31.1º
D
58.9º
16

According to the Americans with Disabilities Act, a ramp can rise no more than 1 ft for every 12 ft of horizontal distance. What is the maximum angle that the ramp can form with the ground?

A
4.8º
B
2.7º
C
5.0º
D
3.7º
17

Find tan–11.4826 to the nearest degree.

A
11°
B
56°
C
4°
D
34°
18

A surveyor is standing 550 feet from the base of a redwood tree in the California Redwood Forest. The tree is 362 feet tall. Sketch a drawing that models the situation and then find the angle of elevation of the top of the tree from the spot where the surveyor is standing.

A
48.8o
B
33.4o
C
56.6o
D
41.0o
19

Find tan A for the triangle below.

Question illustration
A
0.868
B
0.496
C
1.75
D
0.5714

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