question archive An underwater diver sees the sun 60 ? above horizontal

An underwater diver sees the sun 60 ? above horizontal

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An underwater diver sees the sun 60 ? above horizontal.

A) How high is the sun above the horizon to a fisherman in a boat above the diver?

Express your answer using two significant figures.

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if the diver sees the sun at 60 degrees then that means that the refracted ray is 30 degrees
n1sinx1=n2sinx2

where n1 and n2 are refractive index of water and air respectively
1.333sin30 = 1sinx2
x2=41.8 degrees, this is the angle of the incident ray
the person above the water sees the sun at
90 - 41.8 = 48.2 degrees.
the 41.8 degrees is made normal with the surface, so for horizontal to the surface subtract that from 90.