The shadow of a tower becomes x metre longer, when the angle of elevation of sun changes from 60^{\circ} to \theta. If the height of the tower is \sqrt{3} x metre, then which one of the following is correct? [NDA-I 2022]

Correct Answer is : 30∘<θ<45∘

UPSC NDA I 2022 Mathematics Solved Paper

Question : 35 of 120

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The shadow of a tower becomes x metre longer, when the angle of elevation of sun changes from 60∘ to θ. If the height of the tower is √3x metre, then which one of the following is correct?

[NDA-I 2022]

0<θ<30∘
30∘<θ<45∘
45∘<θ<60∘
60∘<θ<90∘

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