मराठी

If the length of the shadow of a tower is sqrt(3) times its height, then the angle of elevation of the sun is ______. - Mathematics

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प्रश्न

If the length of the shadow of a tower is `sqrt(3)` times its height, then the angle of elevation of the sun is ______.

पर्याय

  • 45°

  • 30°

  • 60°

MCQ
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उत्तर

If the length of the shadow of a tower is `sqrt(3)` times its height, then the angle of elevation of the sun is 30°.

Explanation:

In ΔABC,

tan θ = `(AB)/(BC)`

= `h/(hsqrt(3))`

= `1/sqrt(3)`

= tan 30°

∴ θ = 30°

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