Question

A tree cast a 25-foot shadow. At the same time of the day, a 6-foot man standing near the tree casts 9-foot shadow. What is the height of the tree, to the nearest foot?

Answer 1

17 ft

Explanation:

Answer 2

The height of the tree is 16.67 feet.

Explanation:

Refering the figure, let the height be "x" feet.

It is evident that triangles ABC and triangle EDC are similar.

(as both man and tree are perpendicular to the ground)

thus,
`(AB)/(DE) = (BC)/(DC) = (AC)/(EC)`

hence,

`(x)/(6) = (25)/(9)`

Thus,
`x = ((25)/(9))(6) = (50)/(3) = 16.67 foot.`.