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)
Hi Craig;



24


24
feet


____18 feet


____18 feet
This is a right triangle in that one angle is 90degrees.
a^{2}+b^{2}=c^{2}
(18)^{2}+(24)^{2}=c^{2}
324+576=c^{2}
900=c^{2}
square root(900)=c
30=c
The ladder must be 30feet tall.