A submarine is 2.95 multiply.gif 102 m horizontally from shore and 1.00 multiply.gif 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 2.50 multiply.gif 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. (Use 1.333 as the index of refraction for water.)
°
(d) What angle does the refracted beam make with respect to the horizontal?
°
(e) Find the height of the target above sea level.
m