An underwater scuba diver sees the sun at an apparent angle...

An underwater scuba diver sees the Sun at an apparent angle of 44.0° above the horizontal. What is the actual elevation angle of the Sun above the horizontal? (Use 1.333 for the index of refraction of water.)

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Transcript

0:00 Hello.

00:03 So let's look at how we can represent this question on a diagram.

00:09 Okay.

00:13 So we have two media.

00:14 This is air and this is water.

00:21 Now we have an upper angle.

00:23 So when you say upper angle, let's say we have some angle here.

00:32 This angle here with the upper angle that's for the four degrees and then the sun let's say the sun is somewhere here.

00:56 Let's say this is the sun.

01:03 So we want to find the actual elevation angle.

01:11 So what angle is that? so the elevation angle is going to be this one.

01:15 So you want to find theta.

01:17 Okay.

01:21 So here in this question we have to use snells law.

01:26 So using snells law, so the refractive index of air and the angle is the theta in the air should be equal to refractive index of water and the refracted angle in water.

01:55 So the question now is what is theta a and theta w? so theta a, that's the angle of incidence in air.

02:08 Okay, so what is that? so that always should be the angle between that and the normal.

02:15 So this theta a, okay? then this one should be theta w.

02:28 That's according to snowslow...

Question

An underwater scuba diver sees the Sun at an apparent angle of 44.0° above the horizontal. What is the actual elevation angle of the Sun above the horizontal? (Use 1.333 for the index of refraction of water.)

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