Question

The instructions for a 13-foot ladder state that the bottom of the ladder must be set at least 5 feet from a building. How high can the ladder safely reach on the garage?

Answer 1

Answer:

The height at which the ladder safely reach on the garage is 12 meters.

Explanation:

It is given that,

Height of the ladder, H = 13 foot

Bottom of the ladder, B = 5 feet

To find,

How high can the ladder safely reach on the garage?

Solution,

The ladder and the wall follows the Pythagoras theorem. 13 foot is the height of the ladder. Distance between wall and the ladder is 5 feet. Let L is the height at which the ladder safely reach on the garage. On using Pythagoras theorem we get :

$H^2=B^2+L^2$

$L^2=H^2-B^2$

$L^2=13^2-5^2$

L = 12 m

So, the height at which the ladder safely reach on the garage is 12 meters. Hence, this is the required solution.