SOLUTION: Quadratic Equation 14. A ladder is 6m long. If the height of the top of the ladder must be no greater than 10 times the distance from the base to the wall, how high up a wall can

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Question 198479: Quadratic Equation
14. A ladder is 6m long. If the height of the top of the ladder must be no greater than 10 times the distance from the base to the wall, how high up a wall can the top of the ladder be placed? Include a diagram in your solution. Round to the nearest millimeter.
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Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
14. A ladder is 6m long. If the height of the top of the ladder must be no
greater than 10 times the distance from the base to the wall, how high up a
wall can the top of the ladder be placed? Include a diagram in your solution.
Round to the nearest millimeter.
:
Draw a diagram of this, a right triangle with the ladder being the hypotenuse
6 m, x = dist ladder from the building, 10x = height of the ladder on the bldg
:
Using Pythagorus:
x^2 + (10x)^2 = 6^2
x^2 + 100x^2 = 36
101x^2 = 36
x^2 =
x =
x = .597 meters
then the max height would be:
10*.597 = 5.97 meters (5 meters, 970 millimeters)