Unit Test — Unit test Answers

Use the diagram of the right triangle above and round your answer to the nearest hundredth. If a is 3 cm and tan A is 0.75, what is b?

When are two angles called complements of one another?

Find the angle with a tangent ratio of 0.9325.

If two triangles are similar, what is true regarding the sides of the two triangles?

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

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.The cosine of the complimentary angle to 58°

For the triangle above, find sin A.

Evaluate the function requested. Write your answer as a fraction in lowest terms. Find cos B. a. c. b. d. Please select the best answer from the choices provided

Find tan A for the triangle below.

Find the angle with a tangent ratio of 0.4877.

Use the diagram of the right triangle above and round your answer to the nearest hundredth. If º and b = 12 meters, find a.

You are sailing from your lakeshore cabin to a marina 60º north of east and 0.5 miles across the lake. On your return trip, you decide to sail directly south and then west to get back to your cabin. Which of the following expressions uses the complementary angle of 60° to determine how far you would travel on your trip west?

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.

Solve for x. Round your answer to the nearest thousandth.

A small plane is 4 miles by land away from the airport. The angle of elevation from the airport to the airplane is ? What is the altitude of the plane? Round your answer to the nearest tenth of a mile.

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hypotenuse X Y is 4.

Use the diagram above and round your answer to the nearest hundredth. If a is 6 in. and = 31º, what is b?

Solve for x. Round your answer to the nearest thousandth.

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 cos–10.9455 to the nearest degree