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Ssundarraj · Answer 1 · 2022-01-24T12:20:45+0000

Answer:

15

Explanation:

the height of the person is y = 6 and the distance from the ladder is also 6 = x. To find the angle formed by the ladder we use
arctan((y)/(x)) which in this case is

$arctan(6)/(6) = arctan(1)\\= 45 degrees$

now we know that the person is 9 feet away from wall and 6 feet away from the ladder so the total x distance is 9+6 = 15 = x

to find y we use tan(45) =
(y)/(x)

multiply both sides by x = 15 and simplify to get y = 15

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