poles of height a metresand b metres areP metres apart. Prove that the height h of thepoint of intersection N of the lines joining thetop of each pole to the foot of the opposite poleaba + bIS metres.

poles of height a metresand b metres areP metres apart. Prove that the

1.	poles of height a metresand b metres areP metres apart. Prove that the height h of thepoint of intersection N of the lines joining thetop of each pole to the foot of the opposite poleaba + bIS metres.
Answer» Let the height of the two trees AB and CD be b and a respectively.Distance between the trees BC = pLet EF = h be the height of point of intersection of the lines joining the top of each tree to the foot of the opposite trees.Let CF = x then BF = (p – x)In Δ’s ABC and EFC,∠ABC = ∠EFC = 90°∠C = ∠C (common angle)∴ ΔABC ~ ΔEFC (By AA similarity theorem)b/p= h/xbx= ph