Question

the shadow of a vertical pillar is same the height of pillar then find the elevation of the sun

Answer 1

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In right angle ΔABC, AB represents the vertical pole and BC represents the shadow on the ground.θ represents angle of elevation the sun.

tan θ = h / x

But length of shadow = height of the tower, i.e. h = x.

tan θ = h/ h = 1

tan θ = tan 45°

θ = 45°

Thus, angle of elevation of the sun = 45°.