math
posted by jos .
Marvin has a 27foot ladder. Safety standards dictate that the base of a 27foot ladder should be placed 7 feet from a vertical wall.
How far above the ground will the top of the ladder be on the wall, in feet? Round your answer to the nearest hundredth.

a^2 + b^2 = c^2
a^2 + 7^2 = 27^2
a^2 + 49 = 729
a^2 = 680
a = 26.08