Question

a submarine is 3.00 x 10^2 m horizontally from shore and 1.00 x 10^2 m beneath the surface of the water (n=1.33). A laser beam is sent from the submarine so that the beam strikes the surface of the water 2.10 x 10^2 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 the horizontal?

(e) Find the height of the target above sea level.

Answer 1

b) 42°

c)90°-63°=27°

d) h=107.62m