Question

A pole stands vertically inside a triangular park ABC . If the angle of elevation of the top of the pole from each corner of the park is same , then the foot of the pole is at the (a) centroid (b) circumcenter (c)incentre (d) orthocentre

Answer 1

Answer: Circumcenter

Step-by-step explanation:

For the distance of the foot of the pole from each cornor is height of the pole (h) times the cotangent of the angle of elevation (), i.e. h×cot.

As is same for all the corners, hcot is same.

Hence it is the circumradius. Hence the circle is at the circumcenter

Answer 2

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