SOLUTION: A supporting wire is to be attached to the top of a 32 ft. atenna If the wire must be anchord 32 feet from the base of the attena, what length of wire is required?

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Question 78739: A supporting wire is to be attached to the top of a 32 ft. atenna If the wire must be anchord 32 feet from the base of the attena, what length of wire is required?
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
This problem is asking you to find the hypoteneuse of a
right triangle with the 2 other sides given.
To solve this, use the pythagorean theorem:
a%5E2%2Bb%5E2=c%5E2 where c is the hypotenuese while
a and b are the other 2 sides.
So, for your problem,
c%5E2=32%5E2%2B32%5E2
c%5E2=1024%2B1024
c%5E2=2048
Solve for c by taking the square root of both sides:
c=sqrt%282048%29
c=32%2Asqrt%282%29
There is also a trick to problems like this. If you recognize that
the triangle is an isosceles right triangle (i.e. two sides are equal),
then the hypoteneuse is always s%2Asqrt%282%29 where s is one side.
Good Luck
tutor_paul@yahoo.com