A51-foot ladder is leaning up against a building . the top of the ladder reaches the wall at a height of 50 feet . how far is the bottom of the ladder from the building

feet or  10.05 feet.

Step-by-step explanation:

We know that wall stands vertical to the ground makes right angle.

Then,  the triangle made by ladder must be right triangle.

Now, by Pythagoras theorem of right triangle we have,

, where h is the height of the wall , l is length of ladder and b is the distance of bottom from the building.

By considering the given information, we have

Hence,  the distance of bottom from the building = 10.05 feet.