A 19

​-foot
ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 13

feet from the base of the building. How high up the wall does the ladder​ reach?

1 answer

a^2 + b^2 = c^2

13^2 + b^2 = 19^2

169 + b^2 = 361

b^2 = 192

b = 13.856 feet