Question

what is the angle of elevation of the sun when the length of the shadow of a vertical pole is equal to its height.

Answer 1

The angle of elevation in such a case would be 45 degree because we know that tan 45 degree = 1 which would mean that length of shadow and height of pole are equal.

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Answer 2

The angle of elevation is 45 degree.
Pole is the perperndicular of triangle & shadow is Base .

Then it will be tan 45 = perpendicular/base

1 = perpendicular /base
Base = Perpendicular

That means length of pole is equal to that of shadow.

We can also obtain it by applying cot 45.

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