The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet tall. How far up the wall does the ladder reach?
By the Pythagorean Theorem
Given x=3ft,l=12ft.x=3 ft, l=12ft.x=3ft,l=12ft.
The distance the ladder reaches up the wall is 315≈11.6123\sqrt{15}\approx11.612315≈11.612 feet.
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