Question

A bird was sitting 8 meters from the base of an oak tree and flew 10 meters to reach the top of the tree. How tall is the tree?

Answer 1

100=64-x^2
36=x^2
X=6 meters

Answer 2

Answer: 6

Step-by-step explanation:

From the information provided

adjacent = 8 hypotenuse = 10

opposite =?

Let opposite = x

Using the pythagoras theorem

opp² + adj² = hyp²

x² + 8² = 10²

x² + 64 = 100

subtract 64 from bothside

x²+ 64-64 = 100 - 64

x² = 36

Take the square root of bothside

√x² =√36

x = 6

The height of the tree is 6