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A pole stands vertically inside a triangular park ABC. If the angle of elevation of the top of pole from each corner of park is same, then in $Δ^{l e} A B C,$ foot of pole is at the

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Centroid

Incentre

Circumcentre

Orthocentre

answer is A.

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Detailed Solution

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Let OL be the pole and angle of elevation of top of pole at each of A, B, C be $α$
$\frac{O L}{O A} = \tan α \Rightarrow O A = O L \cot α, O B = O L \cot α, O C = O L \cot α$
$\Rightarrow O A = O B = O C$
O is circumcentre

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