SOLUTION: How far up a wall will a 25 foot long ladder reach if the bottom must be at least 6 feet from the bottom of the wall? What will be the slope of the ladder if the bottom is 6 feet f

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Question 1118855: How far up a wall will a 25 foot long ladder reach if the bottom must be at least 6 feet from the bottom of the wall? What will be the slope of the ladder if the bottom is 6 feet from the wall? What angle will the ladder make with the ground?
Answer: _____ feet up the wall (round-off to 2 decimal places)
slope of the ladder = _____ (3 decimal places)
angle of the ladder with the ground = _____ degrees (round-off to 2 decimal places)
Found 2 solutions by solver91311, josgarithmetic:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Pythagorean theorm: Height up the wall

Slope:

Angle:

These are exact answers. You can do your own arithmetic to find the required decimal approximations. By the way, requiring precision in the results of calculations greater than the least precise measurements given is just asinine. ALL of the answers are incorrect when specified to a precision greater than the nearest whole number.


John

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

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
y%5E2%2B6%5E2=25%5E2
y=sqrt%2825%5E2-36%29
y=sqrt%28589%29
24.27 feet


slopesqrt%28589%29%2F6=4.04489
rounded4.04