A 14-foot ladder is leaning against the wall. The base of the ladder is 5 feet from the wall. Approximately how high on the wall, in feet, does the ladder reach?

13.1 feet

Step-by-step explanation:

A 14-foot ladder is leaning against the wall. The base of the ladder is 5 feet from the wall. Approximately how high on the wall, in feet, does the ladder reach?

We solve the above question using Pythagoras Theorem

c² = a² + b²

Where

c = Hypotenuse = 14 feet

a = Adjacent = 5 feet

b = Opposite = Height of the wall??

14² = 5² + b²

b² = 14² - 5²

b = √14² - 5²

b = 13.076696831

Approximately = 13.1

b = Height of the wall = 13.1 feet