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?

Respuesta :

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

[tex]9^2+b^2=16^2[/tex]

Solve the exponents to get [tex]81+b^2=256[/tex]

Subtract 81 on each side to get [tex]b^2=175[/tex]

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