Answer to Question #231551 in Trigonometry for Jordan

Question #231551

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?


1
Expert's answer
2021-08-31T17:27:18-0400


By the Pythagorean Theorem


l2=x2+y2l^2=x^2+y^2

Given x=3ft,l=12ft.x=3 ft, l=12ft.


y=l2x2=(12)2(3)2=315 (ft)y=\sqrt{l^2-x^2}=\sqrt{(12)^2-(3)^2}=3\sqrt{15}\ (ft)

The distance the ladder reaches up the wall is 31511.6123\sqrt{15}\approx11.612 feet.


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