Question

Eighth grade ) T.5 Pythagorean theorem: word problems 87U

Answer 1

Answer:

The tree is 12 feet tall

Step-by-step explanation:

Let a represent the length of where the bird was sitting to the oak tree

let b represent the height of the tree

let c represent the length at which the bird flew

by pythagoras theorem

c²=a²+b²

b²=c²-a²

$b = \sqrt{ {c}^{2} - {a}^{2} }$

subtitute in the values

$b = \sqrt{ {15}^{2} - {9}^{2} }$

$b = \sqrt{225 - 81}$

$b = \sqrt{144}$

$b = 12$