A man has a rope that is long, attached to the top of a small building. He pegs the rope into the ground at an angle of . How far away from the building did he walk horizontally to attach the rope to the ground? Round to the nearest inch.

What is in the right triangle above? Round to the nearest hundredth.

The hypotenuse of right triangle HLM shown below is long. The cosine of angle is . How many inches long is ?

If angle A measures 30 degrees and the hypotenuse is 4, what is the length of AB in the given right triangle?

In the right triangle shown above, what is the ?

In a given right triangle , hypotenuse and . Using the definition of , find the length of leg . Round all calculations to the nearest tenth.

In a given right triangle , hypotenuse and . Using the definition of , find the length of leg . Round all calculations to the nearest hundredth.

An airline pilot must know the exact vertical height of his plane above the runway to know when to extend the landing gear under the nose. If the nose of the plane is feet away from the ground and the plane is descending at an angle of to the vertical, how far above the ground to the nearest foot is the landing gear?

(Ignore the height of the plane itself).

In a given right triangle , hypotenuse and . Using the definition of , find the length of leg . Round all calculations to the nearest tenth.