If you place a 40 foot ladder against the top of a 24 foot building how many feet will the bottom of the ladder be from the bottom of the building ?

32 feet will the bottom of the ladder be from the bottom of the building.

Step-by-step explanation:

Given:

Height of ladder = 40 feet.

Height of building = 24 feet.

Now, to find the distance from the bottom of the ladder to the bottom of the building.

So, as illustrated in figure below:

Now, we use pythagorean theorem to solve it:

Subtracting both sides from 576 we get:

Using square root on both sides we get:

Therefore, 32 feet will the bottom of the ladder be from the bottom of the building.

equal to

step-by-step explanation: