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Sagot :

noorpinger

Answer:

15

Step-by-step 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 [tex]arctan(\frac{y}{x})[/tex] which in this case is

[tex]arctan\frac{6}{6} = arctan(1)\\= 45 degrees[/tex]

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) = [tex]\frac{y}{x}[/tex]

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

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