Question

A pole stands vertically, inside a scalene triangular park ABC. If the angle of elevation of the top of the pole from each corner of the park is same, then in $\Delta$ ABC, the foot of the pole is at the?

• A. Centroid
• B. circumcentre
• C. incentre
• D. orthocentre

Answer 1

Answer: (B)

circumcentre

OD is the vertical rule

$\angle DOA=\angle DOB=90$

Given $\angle OAD\le \angle OBD$

OD is common to both angle AOD and BOD

Hence triangles AOD, BOD are congruent

$\therefore OA=OB$

$OA=OC$

Therefore$ O is equidistant from A, B, C so circumcentre.