SOLUTION: Help! Please help me solve this 3 part question. I am completely lost. Thank you a) A 6 foot man is standing atop a 9 foot wall The distance along the hypotenuse from the top of

Question 855638: Help! Please help me solve this 3 part question. I am completely lost. Thank you
a) A 6 foot man is standing atop a 9 foot wall The distance along the hypotenuse from the top of the man's head to the ground is 17 feet. Kneeling children are lined up at the base of the wall. Each kneeling child takes up 1 foot of horizontal space. How many children can kneel along the bottom of the triangle? Assume the wall and the man are vertical, forming a right angle with the ground.
b)The man jumps off the original wall and 4 children are removed from the left side of the line. A new triangle is formed. What is the length of the hypotenuse of the new triangle measured from the top of the wall to the ground?
c) Each child on the ground (from the original triangle in part a) lies down to toe, taking up 3 feet each. The 6 foot man is still standing on top of the wall, but the wall is shorter now. If the distance along the hypotenuse from the top of the man's head to the ground is exactly 26 feet, what is the new exact height of the wall?
P.S: I know it's a lot but please help. Even if you solve part a only and give me instructions on how to solve b and c, that will be good. Thank you.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
a) A 6 foot man is standing atop a 9 foot wall The distance along the hypotenuse from the top of the man's head to the ground is 17 feet. Kneeling children are lined up at the base of the wall. Each kneeling child takes up 1 foot of horizontal space.
There is a green right triangle with leg measures and feet, and hypotenuse measuring feet.
According to the Pythagorean theorem
-->-->-->--> -->
The horizontal space along the bottom of the triangle is ,
so kneeling children (each one taking up 1 foot of horizontal space fit on that leg of the right triangle.

b)The man jumps off the original wall and 4 children are removed from the left side of the line. A new triangle is formed. What is the length of the hypotenuse of the new triangle measured from the top of the wall to the ground?
With children left, the horizontal leg of the new right triangle measures only .
The vertical lefg measures , the height of the wall.
The Pythagorean realation for the length in feet is:
-->-->--> (rounded).
The length of the hypotenuse of the new triangle is approximately
.

c) Each child on the ground (from the original triangle in part a) lies down head to toe, taking up 3 feet each. The 6 foot man is still standing on top of the wall, but the wall is shorter now. If the distance along the hypotenuse from the top of the man's head to the ground is exactly 26 feet, what is the new exact height of the wall?
The horizontal leg measures ft and the hypotenuse measures ft.
If ft.
According to the Pythagorean theorem
-->-->-->--> -->-->-->
The new height of the wall is .
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