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The length of the ladder

A spotlight is mounted on the eaves of a house 24 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 18 feet. How long a ladder is needed so that an electrician can reach the place where the light is mounted. (Show all work)
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1 Answer

Hi Craig;
 
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24
feet
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|____18 feet
 
 
This is a right triangle in that one angle is 90-degrees.
a2+b2=c2
 
(18)2+(24)2=c2
 
324+576=c2
900=c2
square root(900)=c
30=c
The ladder must be 30-feet tall.