Question

The ladder must be placed 3 feet from a wall. The ladder is 12 feet long how far above the ground dose the ladder touch the wall

Answer 1

`{a}^(2) + {3}^(2) = {12}^(2) \\ {a}^(2) + 9 = 144 \\ {a}^(2) = 144 - 9 \\ {a}^(2) =135 \\ \sqrt{ {a}^(2) } = √(135) \\ a = 11.619`
the top of ladder is approximately 11.6 ft. above the ground.