Two vertical poles A L and B M of heights 25 m and 100 m respectively stand apart on a horizontal plane. If A , B be the feet of the poles and A M and B L intersect at P , then the height of P from the horizontal plane is equal to

Step-by-step solution

25 x + y = z y   ∵ ∆ L A B ~ ∆ P N B ⇒ y = z x + y 25 … i Also, 100 x + y = z x   ∵ ∆ M B A ~ ∆ P N A ⇒ x = z x + y 100 … i i Adding equation i   &   i i , we get x + y = x + y z 25 + z 100 ⇒ z = 20