Trig Word Problems

A cat sits on a shelf 6 feet above the ground. He wants to get down for some food, so he jumps at a 13 degree angle from the shelf. How far did he travel in the air?

A basketball player lines up 15 feet away to make a free throw. If the goal is 10 feet from the ground, at what angle must they shoot the ball to make the free throw?

A ladder leans against a house to repair a broken window 9 feet off the ground. The ladder makes a 65 degree angle with the ground. How long is the ladder?

A zipline is set up where you start 50 feet above the ground. The zipline's diagonal distance is 400 feet. At what angle does the zipline hit the ground?

There is a ramp on a moving truck that is 12 feet long. The truck is 4 feet off the ground. What angle must you lean the ramp against the truck in order to successfully move the furniture?

An observer is 100 feet from the top of a cliff and 50 feet from the base of the cliff. How many degree is the angle from the observer to the top of the cliff, to the nearest degree? (Round to the nearest whole number)

The angle from a ship to the top of a 48-meter lighthouse on the shore measures 33°. How far is the ship from the top of the lighthouse, to the nearest meter? (Round to the nearest whole number).

From a boat on the river below a dam, the angle from the boat to the top of the dam is 24°. If the dam is 2039 feet above the level of the river, how far is the boat from the top of the dam (to the nearest foot)? (Round to the nearest whole number)

A 20-ft ladder is placed against a wall at an angle of 72 degrees with the ground. How far from the base of the wall is the bottom of the ladder? Round your answer to one decimal place.