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= √(175)` or 13.23 ft