SOLUTION: A later that is 13 ft tall is leaning agaisnt a building the bottom is 5 ft aways from the building. how far does the later go up the building.

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Question 1103017: A later that is 13 ft tall is leaning agaisnt a building the bottom is 5 ft aways from the building. how far does the later go up the building.
Found 2 solutions by ikleyn, richwmiller:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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A highlight%28cross%28later%29%29 ladder that is 13 ft tall is leaning highlight%28cross%28agaisnt%29%29 against a building the bottom is 5 ft highlight%28cross%28aways%29%29 away from the building.
how far does the highlight%28cross%28later%29%29 ladder go up the building.
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In this problem, the ladder is the hypotenuse of a right-angled triangle, one of whose leg is 5 ft.


Therefore, the other leg is sqrt%2813%5E2-5%5E2%29 = sqrt%28144%29 = 12 ft.


It is how far the ladder goes up the building.


Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
It pays to memorize a few basic Pythagorean triplets such as (3, 4,5), (5, 12, 13), (8, 15, 17), (7, 24, 25), (20, 21, 29), (12, 35, 37), (9, 40, 41), (28, 45, 53), (11, 60, 61), (33, 56, 65), (16, 63, 65), (48, 55, 73), (36, 77, 85), (13, 84, 85), (39, 80, 89), and (65, 72, 97)
The first two are the most commonly encountered.