If the angle of a depression from the top of a lighthouse to a boat in the water is 14 degrees. If the boat is 532 feet from the base of the lighthouse, what is the height of the light house? Round your answer to the nearest tenth. (one decimal place)
Let h be the height of the lighthouse.
Therefore, h/532 = tan(14).
Therefore, h = 532*tan(14).
Using a calculator, tan(14) is approximately 0.2493.
So, h is approximately 532*0.2493 = 132.814.
The height of the lighthouse is approximately 132.8 feet. Answer: \boxed{132.8}.