Answer:
Snell's Law states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the indices of refraction of the two media:
sin i / sin r = n2/n1
where i is the angle of incidence, r is the angle of refraction, n1 is the index of refraction of the initial medium (in this case air), and n2 is the index of refraction of the second medium (in this case the windshield).
We can rearrange Snell's Law to solve for n2:
n2 = n1 * sin i / sin r
Plugging in the given values, we have:
n2 = 1.0003 * sin 55° / sin 35.25°
Using a calculator, we get:
n2 ≈ 1.526
Therefore, the index of refraction of the windshield is approximately 1.526 to the nearest thousandth.