Inverse Functions Answers

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10

Find tan A

Question illustration
A
4.5556
B
0.225
C
4.4444
D
1.025
11

Consider the following triangle. Determine the measure of the angle represented by using the inverse tangent function.

Question illustration
A
50.2º
B
56.4º
C
39.8º
D
33.6º
12

Find the angle of elevation to the top of a 150-ft flagpole from a point 50 feet from the base of the pole. Round your answer to the nearest tenth.

A
71.6º
B
18.4º
C
19.5º
D
70.5º
13

Find tan–1 1.4281 to the nearest degree.

A
10°
B
55°
C
5°
D
35°
14

Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree.

Question illustration
A
45°
B
90°
C
0°
D
1°
15

Find tan A for the triangle below.

Question illustration
A
0.4167
B
0.385
C
2.4
D
0.923
16

Find the angle with a tangent ratio of 0.6009.

A
51°
B
39°
C
31°
D
59°
17

Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree.

Question illustration
A
71°
B
19°
C
72°
D
18°
18

Find tan A

Question illustration
A
4.5556
B
0.225
C
4.4444
D
1.025
19

Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree.

Question illustration
A
21°
B
22°
C
68°
D
37°
20

The steepness, or grade, of a highway or railroad is expressed as a percent. In the photo of the cog railway at Pike’s Peak, in Colorado, the grade is 18%. Thus, for every 100 ft of horizontal run, the train rises 18 ft. Find the angle of the inclination of the railway.

Question illustration
A
10.2°
B
15.7°
C
7.85°
D
19.2°

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