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07 Feb 2022, 09:15
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A ladder 20 feet long is placed against a wall. If the distance on the ground from the wall to the ladder is 12 feet, how many feet up the wall does the ladder reach?
A. 12
B. 15
C. 16
D. 21
E. 24
A. 12
B. 15
C. 16
D. 21
E. 24
07 Feb 2022, 09:37
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This forma a right angled triangle with height of the wall reached as height, horizontal distance of ladder from the ground as base, and ladder as the hypotenuse.
20^2-12^2= 256. √256=16 is the height reached.
Answer option C.
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20^2-12^2= 256. √256=16 is the height reached.
Answer option C.
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07 Feb 2022, 09:51
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We get a right triangle where the 20 foot ladder is the hypotenuse, and the 12 foot distance along the ground is one of the two short sides. That's just 4 times bigger than a 3-4-5 triangle, so the missing vertical side is 16.
