Question

If a tree casts a 18 feet shadow and at the same time, a child of height 3 feet casts a 2 feet shadow, then the height of the tree is

(A) 27 feet

(B) 32 feet

(C) 45 feet

(D) 36 feet

Answer 1

The correct option is: (A) 27 feet

Explanation:

Let AB be the height of tree which casts a shadow AC = 18 feet and ED be the height of child which casts a shadow CD = 2feet.

Now, in ΔABC and ΔDEC, we have

∠A = ∠D [Each 90°]

∠C = ∠C [Common angle]

=> AB = 27feet

So, the height of tree is 27 feet.