A 11-foot ladder is leaning against a building, with the base of the ladder 6 feet from the building. How high up on the building will the top of the ladder reach? Round to the nearest tenth

9.2 feet

Step-by-step explanation:

This is a Pythagorean theorem question

The ladder is the hypotenuse or c

the distance from the wall is a leg or a

and the wall is the other leg or b

a² + b² = c²

6² + b² = 11²

36 + b² = 121

-36 - 36

b² = 85

√ √

b = √85

b = 9.2 feet