Q1. A lighthouse that rises 45 {rm ft} above the surface of the water sits on a rocky cliff that extends 19 {rm ft} from its base. A sailor on the deck of a ship sights the top of lighthouse at an angle of 30.0 above the horizontal.
If the sailor's eye level is 14 {rm ft} above the water, how far is the ship from rocks?
Q2. A broken piano emits frequencies from a low of 32.0 Hz to a high of about 4100 Hz. What is the shortest wavelength if the speed of sound in air is 342.50 m/s? Record the answer to three decimal places and include units in the answer.