A submarine is 3.00 102 m horizontally out from the shore and 1.05 x 102 m beneath the surface of the water. A laser beam is sent from the submarine so that the beam strikes the surface of the water 2.28 x 102 m from the shore. A building stands on the shore, and the laser beam hits a target at the top of the building. The goal is to find the height of the target above sea level.
(a) Draw a diagram of the situation, identifying the two triangles that are important to finding the solution.
(b) Find the angle of incidence of the beam striking the water-air interface.
(c) Find the angle of refraction.
(d) What angle does the refracted beam make with respect to the horizontal?
(e) Find the height of the target above sea level.