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

Question 1106040: 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?
Found 2 solutions by Alan3354, Boreal:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
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?
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It's a right triangle. The hypotenuse is 25 feet.
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Cosine(angle) = 6/25

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
It's a right triangle
ladder is hypotenuse and 25
one leg is 6
6^2+x^2=25^2=625
x^2=625-36=589
x=24.27 feet up the wall ANSWER
angle can be done several ways
cosine of the angle is adjacent over hypotenuse or 6/25=0.24
angle is arc cos (0.24)=76.1 degrees ANSWER
The slope is 24.27,/6, the height over the leg, or 4.05 ANSWER
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