Two vertical poles A L and B M of height 4 m and 16 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

4 x + y = z y   ∵ ∆ L A B ~ ∆ P N B ⇒ y = z x + y 4 … . i Also, 16 x + y = z x   ∵ ∆ M B A ~ ∆ P N A ⇒ x = z x + y 16 … . i i Adding equations i   &   i i , we get, x + y = x + y z 4 + z 16 ⇒ z = 16 5