Answer:
34.04 feet
Step-by-step explanation:
We are given that :
A 40 ft ladder leans against a building so that the top of the ladder touches the building at a point 21 ft above the ground.
This can be represented by the figure attached
We have to find the value of x
Clearly it is a right angle triangle with base x, perpendicular 21 feet and hypotenuse 40 feet.
⇒ x² + 21²=40²
⇒ x²= 1159
⇒ x= 34.04
Hence, the bottom of the building is 34.04 feet away the bottom of the ladder.
