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Maximum Height of a Leaning Ladder

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A ladder is 20 feet long.

The ladder rests on level ground and leans against a vertical wall. For safety, the base of the ladder must be placed at least 3.2 feet from the base of the wall.

What is the maximum height the ladder can reach up the wall, rounded to one decimal place?

A

10.2 feet

B

19.7 feet

C

17.6 feet

D

23.2 feet

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