you need to clean the gutters of your home. the gutters are 24 FT above the ground. for safety, the distance a ladder reaches up a wall should be four times the distance from the bottom of the ladder to the base of the side of the house. Therefore the ladder must be 6 ft from the base

Question

Of the house. Will a 25 foot ladder be long enough to reach the gutters?

Answer 1

6^2 + 24^2 < 25^2

so it will do

Answer 2

24^2 = 8^2