A 10 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 8 feet from the base of the building. How high up the wall does the ladder reach.

Answer 1

a^2 + b^2 = c^2

8^2 + b^2 = 10^2

64 + b^2 = 100

b^2 = 36

b = 6

The ladder reaches 8 feet.

Answer 2

A 11​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 8 feet from the base of the building. How high up the wall does the ladder​ reach?
answer is 6