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The length of the shadow of a person is x when the angle of elevation of the sun is 45°. If the length of the shadow increases by (√3 – 1)x, then the angle of elevation of the sun should become

The length of the shadow of a person is x when the angle of elevation of the sun is 45°. If the length of the shadow increases by (√3 – 1)x, then the angle of elevation of the sun should become Correct Answer 30°

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In ΔABC,

tan C = tan 45 = 1

1 = AB/BC

AB = BC = x

CD = (√3 – 1)x,

Then, BD = √3x

In ΔABD,

tan D = x/√3x = 1/√3

∴ θ = 30°

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