Question

2. A tree casts a 13-foot shadow. The distance from the top of the tree to the far end of the shadow is 22 feet. If the tree is perfectly straight and creates a right angle with the ground, how tall is the tree?

Answer 1

We use the Pythagorean Theorem.

Hypotenuse = 22 one leg = 13

other leg^2 = 22^2 - 13^2

other leg^2 = 484 -169

other leg^2 = 315

other leg = 17.7482393493 (which is the height of the tree).

Explanation: