You help your dad build a dog house for your dog. You tell him that it would be easy to build a dog house in the shape of a tent. The slanted sides are 5 feet long and the bottom of the house is 8 feet across. You draw him the following illustration to help him find the height of the dog house. What do you tell him the height of the dog house is?
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OpenStudy (anonymous):
OpenStudy (anonymous):
9 ft
4 ft
16 ft
4.5 ft
OpenStudy (anonymous):
The word problem, picture, and options don't make any sense!
OpenStudy (anonymous):
@Nnesha
OpenStudy (anonymous):
@Preetha
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OpenStudy (anonymous):
@triciaal
OpenStudy (anonymous):
@aaronq
OpenStudy (anonymous):
@e.mccormick
OpenStudy (mathstudent55):
The problem states the distance on the ground is 8 ft, but the figure shows 6 ft.
OpenStudy (mathstudent55):
Let's say the figure is correct.
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OpenStudy (mathstudent55):
We can use the Pythagorean theorem:
\((3~ft)^2 + h^2 = (5 ~ft)^2 \)
\(9~ft^2 + h^2 = 25~ft^2\)
\(h ^ 2 = 16~ft^2\)
\(h = 4~ft\)