SOLUTION: A spotlight is mounted on the eaves of a house 12 feet above the ground. A flower bed runs between the house and the sidewalk, so the closest the ladder can be placed to the house

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Question 747206: A spotlight is mounted on the eaves of a house 12 feet above the ground. A flower bed runs between the house and the sidewalk, so the closest the ladder can be placed to the house is 5 feet. How long a ladder is needed so that an electrican can reach the place where the light is mounted.
The lenght of the ladder needs to be how many feet?

Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
this is a Pythagorean question
Imagine a right angled triangle with
the house wall being the vertical side
and the ground being the bottom horizontal
side.
The length of the ladder is given by
the value of the hypotenuse, the side
facing the right angle.
The square on the hypotenuse = the sum
of the squares on the other two sides.
12^2 + 5^2 = 169
Square root of 169 = 13ft.
The length of the ladder required
is 13ft.

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