Trig Application Problems

The angle of depression from the top of a cruise ship to the top of a sailboat is 22 degrees. Sitting above the water, the cruise ship is 236 feet tall, while the sailboat is 27 feet tall. Find the distance between the cruise ship and the sailboat

Sarah sights the top of the Statue of Liberty at an angle of elevation of 61 degrees. If Sarah is 5.5 feet tall and is standing 166 feet from the base of the statue, find its height.

The angle of elevation from a soccer ball on the ground to the top of the goal is 34 degrees. If the goal is 8 feet tall, what is the distance from the ball to the goal.

The angle of elevation from the tip of a 95-foot tall building to a hot air balloon in the sky is 76 degrees. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon.

A surfer is riding a 7-foot wave. The angle of depression from the surfer to the shoreline is 10 degrees. What is the distance from the surfer to the shoreline?