Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 ie √(xy).
tan(P°) = h/x eq1
tan(90 - P°) = h/y
tan(Q°) = h/y eq2
from eq1 and eq2
h = √(xy)