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The ratio of the height of …

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The ratio of the height of a tower and the length of its shadow on the ground is ®3:1. What is the Angle of elevation of the sun.

Posted by Raj Kumar 5 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Yogita Ingle 5 years, 11 months ago

Ratio of the height of a tower and the length of its shadow is given by

{tex}\sqrt{3}:1{/tex}

So, we will use tangent of triangle to find the angle of elevation:

{tex}\tan \theta=\dfrac{\text{Height of tower}}{\text{Length of shadow}}\\\\\tan \theta=\dfrac{\sqrt{3}}{1}\\\\tan \theta=\tan 60^\circ\\\\\theta=60^\circ{/tex}

Hence, the angle of the elevation of the sun is 60°.

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Ravi Dutt Jaimini 5 years, 11 months ago

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CBSE > Class 10 > Mathematics