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

Algebra ->  Pythagorean-theorem -> 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      Log On


   

Question 1141965: 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 by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y, up the wall
25, hypotenuse ladder
6, along the ground, leg

y%5E2%2B6%5E2=25%5E2
y=sqrt%2825%5E2-6%5E2%29
y=sqrt%28589%29
y=24.269322199, maybe take that to 24.3 feet.

t, angle with the ground
cos%28t%29=6%2F25
.
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