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The angle of elevation of the sun when the shadow of a pole h meter high is sqrt(3)h meters long is ______.

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Question

The angle of elevation of the sun when the shadow of a pole h meter high is `sqrt(3)h` meters long is ______.

Fill in the Blanks
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Solution

The angle of elevation of the sun when the shadow of a pole h meter high is `sqrt(3)h` meters long is 30°.

Explanation:

Let θ be the angle of elevation.

Then `tan θ = "height"/"shadow"` 

= `h/(sqrt(3)h)` 

= `1/sqrt(3)`

= tan 30°

So θ = 30°.

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Chapter 12: Heights and Distances - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [Page 12.26]

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R.D. Sharma Mathematics [English] Class 10
Chapter 12 Heights and Distances
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 2. | Page 12.26
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