How far from the base of the house do you need to place a 15-foot ladder so that it exactly reaches the top of a 12- foot tall wall?
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Answer:
Step-by-step explanation:
Let the base of the 15ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.
By Pythagorean theorem
12
2
+
x
2
=
15
2
⇒
x
2
=
15
2
−
12
2
=
81
⇒
x
=
√
81
=
9
ft
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