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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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