Question

The length of a shadow of a tree is 9 ft. The distance from the top of the tree to the tip of the shadow is 16 ft. what is the height of the tree?

Answer 1

So for this, you'll be using the pythagorean theorem to solve for the height.

$9^2+b^2=16^2$

Solve the exponents to get $81+b^2=256$

Subtract 81 on each side to get $b^2=175$

Square root each side, and your answer should be $b= \sqrt{175}$ or 13.23 ft