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प्रश्न
If a pole 6 m high casts a shadow `2sqrt(3)` m long on the ground, then the Sun's elevation is ______.
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उत्तर
If a pole 6 m high casts a shadow `2sqrt(3)` m long on the ground, then the Sun's elevation is 60°.
Explanation:
Let θ be the Sun's elevation.
Then `tan θ = "height"/"shadow length"`
= `6/(2sqrt(3))`
= `3/sqrt(3)`
= `sqrt(3)`
So θ = `arctan(sqrt(3))` = 60°.
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