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A 35 foot ladder is set against the side of a house so that it reaches up 21 feet. If Elijah grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 17 ft.) Round to the nearest tenth of a foot.

User Gabbi
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Answer:


{21}^(2) + {x}^(2) = {35}^(2)


{x}^(2) =784


x = 28


{y}^(2) + {32}^(2) = {35}^(2)


{y}^(2) = 201


y = √(201) = 14.18

The ladder will reach about 14.2 feet up the side of the house.

User David Sacks
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