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
Of the house. Will a 25 foot ladder be long enough to reach the gutters?
6^2 + 24^2 < 25^2
so it will do
24^2 = 8^2
To determine if a 25-foot ladder will be long enough to reach the gutters, we need to calculate the total length required to reach 24 feet.
According to the given safety guideline, 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, which is 6 feet in this case.
So, the ladder would need to reach a total of 4 * 6 = 24 feet.
Since the required distance to reach the gutters is exactly 24 feet, a 25-foot ladder should be long enough to reach the gutters.
To answer this question, we need to consider the height of the gutters and the reach of the ladder.
Given that the gutters are 24 feet above the ground, and according to the safety guideline you mentioned, the distance from the bottom of the ladder to the base of the side of the house should be one-fourth of the ladder's reach. So, if the ladder is 25 feet, the distance from its base to the side of the house should be 6.25 feet (25/4).
Therefore, a 25-foot ladder should be long enough to reach the gutters, as the ladder reaches 6.25 feet up the wall, which is higher than the required 6 feet needed to safely access the gutters that are 24 feet above the ground.