Inverse Functions Answers

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.

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.

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.

Find θ in the triangle. Round to the nearest degree.

Find tan A for the triangle below.

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?

Use a calculator to find an angle that has a tangent of . Round your answer to the nearest degree. Verify your answer by using a right triangle.

Find sin–10.9563 to the nearest degree.

Find tan A for the triangle below.

Find tan A for the triangle below.

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.

Find tan A for the triangle below.

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

Find the angle with a tangent ratio of 0.4877.

Find cos–10.9455 to the nearest degree

Find θ in the triangle. Round to the nearest degree.

Which is NOT an example of the three trigonometric reciprocals of sine, cosine and tangent?

Using a scientific calculator or graphing calculator to find the inverse tangent of the ratio. Round to the nearest degree. 9.5

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 where a and b are not zero? a. c. b. d. Please select the best answer from the choices provided

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