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The angle of elevation of the top of a 15 m high tower at a point 153 m away from the base of the tower is ______. - Mathematics

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Question

The angle of elevation of the top of a 15 m high tower at a point `15sqrt(3)` m away from the base of the tower is ______.

Options

  • 30°

  • 45°

  • 60°

  • 90°

MCQ
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Solution

The angle of elevation of the top of a 15 m high tower at a point `15sqrt(3)` m away from the base of the tower is 30°.

Explanation:

Let the angle be x

So, tan x = `15/(15sqrt(3))`

= `1/sqrt(3)`

`\implies` tan x = tan 30°

So, Angle of elevation = 30°

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2022-2023 (March) Basic - Delhi Set 2
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