Question

The height of the man and his shadow from a triangle similar to that formed by a near by tree and its shadow. what is the height of the tree?

Answer 1

Given :   AE = 96 ft, AC=12 ft and BC = 5 ft.​

As per proportionality theorem which states that " if a line is drawn parallel to one side of a triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio."

As per given ,

let AB=x,

CD=12.5 ft,

CA=20 ft and DE=5 ft.