Question
Asked Nov 7, 2019
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A supporting wire is to be attached to the top of a 50-foot antenna. If the wire must be anchored 50 feet from the base of the antenna, what is the length of the wire required? write your answer to the nearest inch. 

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Expert Answer

Step 1

Given,

           A supporting wire is to be attached to the top of a 50-foot antenna and the wire must be anchored 50 feet from the base of the antenna.

Let A and B be the top and base of the antenna as shown below.

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Top of the antenna Wire 50-feet C. в 50-feet Base of the antenna

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Step 2

Since, ABC is a right-angled triangle, so we are going to use Pythagoras theorem.

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. AC2 = AB2 BC2 AC2 502502 AC V502 50 (Since, Ja(b2) = bva) AC 2(502) AC 50 2 feet

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Step 3

Since, 1 foot is equal...

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Therefore, length of the wire required 50 2 feet =50 2 x 12 inches. 848.52 inches. 849 inches.

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Math

Algebra

Equations and In-equations