Question

A ladder is leaning against a garage. If the ladder is 25ft long. How high up the garage will it reach if it is placed 4ft from the bottom of the garage

Answer 1

`24.68\ ft`

Explanation:

see the attached figure to better understand the problem

Let

x ----> ladder height in ft

Applying the Pythagorean Theorem

`25^2=4^2+x^2`

solve for x

`625=16+x^2`

`x^2=625-16`

`x^2=609`

`x=√(609)\ ft`

`x=24.68\ ft`