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

Answer:

$24.68\ ft$

Step-by-step 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

$625=16+x^2$

$x^2=625-16$

$x^2=609$

$x=\sqrt{609}\ ft$

$x=24.68\ ft$