Question

Alejandro has three ladders that are 15,10,12 feet in length . if the is trying to reach a window that is 8 feet from the ground then

Answer 1

the bottom of the ladder is 12.69 feet

Explanation:

How far does the bottom of the ladder need to be for the 15-foot ladder?

He is trying to reach a window that is 8 feet from the ground

The ladder form a right angle triangle with the window

hypotenuse is 15 foot

ladder is 8 feet from the ground

Use pythagorean theorem

`c^2=a^2+b^2`

`15^2=a^2+8^2`

`225=a^2+64`

Subtract 64 from both sides

`161=a^2`

Take square root on both sides

a= 12.69

the bottom of the ladder is 12.69 feet