SOLUTION: The tallest structure in the United States is a TV tower in Blanchard, North Dakota. It's height is 2063 feet. A 2382-foot length of wire is to be used as a guy wire attached to th

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Question 452057: The tallest structure in the United States is a TV tower in Blanchard, North Dakota. It's height is 2063 feet. A 2382-foot length of wire is to be used as a guy wire attached to the top of the tower. Approximate to the nearest foot how far from the base of the tower the guy wire must be anchored.
Answer by AHBK(13) (Show Source):
You can put this solution on YOUR website!
ok this is going to be solved using the Pythagorean theorem :this theorem stats that
in a right triangle :
c^2=a^2+b^2
where c is the hypotenous (side facing 90) and a and b are the other sides
the building is perpendicular to the ground so with the guy wire the building forms a right triangle where the guy wire is the hypotenous .
lets name the guy wire C
the building B
and the distance where the base of the wire must be anchored be A.
according to the Pythagorean theorem we have
C^2=A^2+B^2
so
A^2=c^2 - B^2
= (2382)^2 - (2063)^2
=5673924+4255969
=9929893
so A= sqrt(9929893)
=3151.1733 foot
so the distance between the base of the tower and the where the guy wire must be anchored is 3151.1733 foot