A pole stands vertically, inside a triangular park ABC. If the angle of elevation of the top of the pole from each of the corner of the park is same, then the foot of the pole is at the:

A pole stands vertically, inside a triangular park ABC. If the angle of elevation of the top of the pole from each of the corner of the park is same, then the foot of the pole is at the:

1. A
Centroid
2. B
Circumcentre
3. C
Incentre
4. D
Orthocentre

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Solution:

Let the diagram of the triangle be,
Here, R is equidistant from pole to three corners of the triangle, and H is the height of the pole.
The point is referred to as the incentre when the angle bisector of the triangle meets there.
Hence, the correct option is 3.

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