Inverse Functions

Question 1

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

Revolt · Accepted Answer

72°

Question 2

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

Revolt · Accepted Answer

45°

Question 3

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.

Revolt · Accepted Answer

71.6º

Question 4

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

Revolt · Accepted Answer

39.8º

Question 5

Find tan A

Revolt · Accepted Answer

0.225

Question 6

Find tan–1 1.4281 to the nearest degree.

Revolt · Accepted Answer

55°

Question 7

Find the angle with a tangent ratio of 0.6009.

Revolt · Accepted Answer

31°

Question 8

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.

Revolt · Accepted Answer

10.2°

Question 9

Find tan A for the triangle below.

Revolt · Accepted Answer

2.4

Question 10

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

Revolt · Accepted Answer

21°

Inverse Functions Answers

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