Consider the situation in the figure - a student diver in a pool and an instructor on the edge, outside the water. Since the indices of refraction of air and water are different, the light rayvs coming from the diver and the instructor are refracted at the surface, changing their apparent position with respect to each other. The diver sees the \\ instructor at an apparent angle of , = 77, measured from the normal to the interface. _\" 8 Randomized Variables $ 50% Part (a) Find the height of the instructor's head above the water in meters, noting that vou will first have to calculate the angle of incidence (you can take the indices of refraction to be n, = 1 for air and n,. = 1.33 for water). Grade Summary h=|0.84 Deductions Potential 100% o b = Submit | | I give up! Hints: 5 fora 0% deduction Hints remaining: 0 Feedback: 1% deduction per feedback. -How are the angles of incidence and refraction related to each other? -Use Snell's law. -How iz the angle of the instructor a2 seen by the diver related to the angle of refraction at the water-air interface? -You can find the incident zngle at the water-air interface with Snell's law: -Then vou can find the height from the geometry of the path in the air & @& 50% Part (b) Find the apparent depth of the diver's head below water as seen by the instructor in meters, assuming the diver and his image both have the same horizontal distance along the surface of the water