Problem: An underwater diver sees the sun 59 degrees above horizontal.What is the angle between the sun and the fisherman relative to the horizon?Express your answer using two significant figures.φ= _____________degrees

FREE Expert Solution

Snell's law:

$\overline{){{\mathbf{\eta }}}_{{\mathbf{1}}}{\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{{\mathbf{\phi }}}_{{\mathbf{1}}}{\mathbf{=}}{{\mathbf{\eta }}}_{{\mathbf{2}}}{\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{{\mathbf{\phi }}}_{{\mathbf{2}}}}$

Where φ1 is the angle of incidence, φ2 is the angle of refraction, η1 is the refractive index of medium 1 (water), and η2 is the refractive index of medium 2 (air).

The angle underwater is φ1 = 90° - 59° = 31°

(1.33)sin(31°) = (1)sin(φ2)

Problem Details

An underwater diver sees the sun 59 degrees above horizontal.

What is the angle between the sun and the fisherman relative to the horizon?