Two tourists with a surveying tool want to measure the distance from their hotel to the Washington Monument and to the Lincoln Memorial. From the top of the Washington Monument, they find that the angle hotel-Washington Monument-Lincoln Memorial is65°.From the top steps of the Lincoln Memorial, they find that the angle hotel-Lincoln Memorial-Washington Monument is107°.In a brochure, they read that the distance from the Washington Monument to the Lincoln Memorial is1.3 kilometers.(A graphing calculator is recommended. Round your answers to one decimal place.)
(a) What is the distance from the Washington Monument to the hotel?
(b) What is the distance from the Lincoln Memorial to the hotel?