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SAT® Math

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A Ladder and a House

SATMAT-KKIKNX

Created for Albert.io. Copyright 2016. All rights reserved.

A $ 12 $ foot ladder leans against the side of a house, as shown in the figure above. The point of intersection between the ladder and the house is $ 9 $ feet $ 6 $ inches above the ground, and the base of the ladder is $ 2 $ feet $ 6 $ inches from the base of the house.

To the nearest inch, what length of the ladder, $ x $, extends above the point where the ladder meets the house? (Calculator)

A

$ 1 $ foot $ 11 $ inches

B

$ 2 $ feet $ 1 $ inch

C

$ 2 $ feet $ 2 $ inches

D

$ 2 $ feet $ 3 $ inches