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a 6-foot-tall man is standing atop a 9-foot wall. the distance along the hypotenuse from the top of the man’s head to the ground, as shown, is 17 feet. each kneeling child takes up 1 foot of space. how many children can kneel along the bottom of the triangle as shown? assume the wall and the man are vertical, forming a right angle with the ground.

8

Step-by-step explanation:

hypotenuse = c = 17 feet

Height = a = 9 feet + 6 feet = 15 feet

Children's space = b

a^2 + b^2 = c^2

15^2 + b^2 = 17^2

225 + b^2 = 289                   Subtract 225 from both sides

225-225+b^2=289-225

b^2 = 64                                 Take the square root of both sides.

sqrt(b^2) = sqrt(64)

b = 8

Since each child takes up 1 foot, 8 children can sit on side b.  

step-by-step explanation:

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