Inverse functions practice & quiz

Find tan A ( 40 9 41)

0.225

Find tan a for the triangle below ( 12 21 24.19)

0.5714

Find tangent A for the triangle below ( 26 24 10)

2.4

Find sin -1 0. 9563 to the nearest degree

73°

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

10.2°

A mini toy helicopter ascends 50 feet vertically then flies horizontally 200 feet. Find the angle of elevation to the helicopter now as seen by an observer at the takeoff point. Round to the nearest degree

14°

Find tan a for the triangle below ( 3.2 1.2 3)

2.5

Using a scientific calculator or graphing calculator find the inverse tangent of the ratio round to the nearest degree 3/8

21

A Ships sonar detects a submarine 880 feet below a point on the ocean surface 1450 feet dead ahead of the ship. To the nearest degree find the angle X

31°

Find the angle with a tangent ratio of 0.6009

31°

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

33.4°

Determine the measure of the angle represented by * using the inverse tangent function ( 5m 6m )

39.8°

Find the angle with the tangent ratio of 0.9325

43°

Using a scientific calculator graphing calculator find the inverse tangent of the ratio round to degree 1/1

45

Using a Scientific calculator or graphing calculator to find the inverse tangent of the ratio. Round to the nearest degree. 7/5

54°

Find tan -1 1.4281 to the nearest degree

55°

The Sears Tower in Chicago is 1454 feet high. Find the angle of elevation from a point 750 feet from the base to the top of the tower. Round to the nearest tenth

62.7°

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

71.6°

Using a scientific calculator or graphing calculator find the inverse tangent of the ratio round to the nearest degree 3/1

72°

If the cotangent and tangent are reciprocals of each other then what is the cotangent of an angle if the tangent of the same angle is B/A where a and b not zero?

A/B