Question

The waves on the surface of a lake form a nearly spherical surface near peak of the wave, as shown in the image below. A bug is flying some distance above the surface of the water, as shown, and is being watched by a fish. The index of refraction of the water is ?=1.3 n = 1.3 . The fish is at a depth of 180cm, and the bug is flying a distance 32cm above the surface. The radius of curvature of the water is 95cm. How far above the surface of the water does the bug appear to be? Submit your answer in units of cm. Your answer must be correct to 0.2% accuracy (at least 3 significant figures).