SOLUTION: Please help me by solving this equation. A 10m long pipe rests on a 4m high fence. One end of the pipe is on the ground 3m from the base of the fence. How much of the pipe hang

Algebra ->  Pythagorean-theorem -> SOLUTION: Please help me by solving this equation. A 10m long pipe rests on a 4m high fence. One end of the pipe is on the ground 3m from the base of the fence. How much of the pipe hang      Log On


   

Question 1089384: Please help me by solving this equation.
A 10m long pipe rests on a 4m high fence. One end of the pipe is on the ground 3m from the base of the fence. How much of the pipe hangs over the fence?
Found 3 solutions by solver91311, josgarithmetic, ikleyn:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The triangle formed by the fence, the portion of the pipe between the fence and the ground and the ground between the fence and the end of the pipe touching the ground is a 3-4-5 right triangle.

John

My calculator said it, I believe it, that settles it

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Hypotenuse is the part of pipe 'below' the top of the fence.
10-%28hypotenuse%29 is the part 'above' the fence.

10-sqrt%283%5E2%2B4%5E2%29

10-sqrt%2825%29

10-5

highlight%285%29

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
It is very easy. 

The part of the pipe from the ground to the fence is the hypotenuse of the right angled triangle with the legs 3 and 4 meters.


Hence, the hypotenuse is sqrt%283%5E2%2B4%5E2%29 = sqrt%289%2B16%29 = sqrt%2825%29 = 5 m long.


The rest of the pipe 10m - 5 m = 5m is over the fence.

Answer. The part of the pipe of 5 m long is over the fence.


Solved.