Question

A pole stands vertically inside a triangular garden. If the angle of elevation of the top of the pole from each corner of the garden is same, then the foot of the pole i is located at

Answer 1

Answer:

Answer is circumcenter

Step-by-step explanation:

For angle f elevation to be same, all the 3 triangles should be congruent. For them to be congruent, each side must be same. Nothing can be said about the side joining the tip of the pole and one of the vertex of the triangular park but we know the pole makes 90 degree with ground. So if two sides are same for all the 3 triangles, that means we get the desired condition. For this we need to ensure that the foot of the pole is at the same distance from each vertex which is the property of circumcenter alone