A ladder needs to reach 112 feet to get to the top of a wall. To avoid tipping over, the ladder must be placed 15 feet from the base of the wall. How tall of a ladder must you have to reach all the way to the top of the 112 foot wall?

>127ft

Step-by-step explanation:

The ladder must be more than 127ft to reach the top of the 112 foot wall. If the ladder was placed directly against the wall (not 15ft away from the base), the ladder would have to be 112ft to start with, since it would not reach otherwise. Now, since the ladder is 15ft away from the base, add the 15ft to the 112ft. Thus, the ladder must be at least 127ft tall to reach the extra 15ft.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x