SOLUTION: A flagpole is supported by a wire fastened 70 feet from its base. the wire is 14 feet longer than the height it reaches on the flagpole. find the length of the wire.

Algebra ->  Triangles -> SOLUTION: A flagpole is supported by a wire fastened 70 feet from its base. the wire is 14 feet longer than the height it reaches on the flagpole. find the length of the wire.      Log On


   



Question 187482: A flagpole is supported by a wire fastened 70 feet from its base. the wire is 14 feet longer than the height it reaches on the flagpole. find the length of the wire.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
a^2+b^2=c^2
70^2+b^2=(b+14)^2
4,900+b^2=b^2+28b+196
b^2-b^2-28b+4,900-196
-28b+4,704=0
-28(b-168)=0
b-168=0
b=168 ft. is the length of the wire.
Proof:
70^2+168^2=(168+14)^2
4,900+28,224=182^2
33,124=33,124