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pishuonlain [190]
2 years ago
9

The guy wire is approximately blank feet long

Mathematics
1 answer:
AfilCa [17]2 years ago
7 0

Answer: The guy wire  = 393.4 ft

Step-by-step explanation:

<u>Given images:</u>

Refer to the attachment below (I apologize for the bad writing on the computer)

<u>Given information:</u>

Height of the tower = 175 ft

Height of the wire = 15 ft from the top (Opposite)

Angle with the ground = 24°

Length of wire = Unknown (Hypotenuse)

<u>Determine the trigonometric function:</u>

The primary choice will be the Sine function because the angle is opposite to the height and the wire is the hypotenuse of the system.

<u>Determine the equation:</u>

sin θ = (Opposite) / (Hypotenuse)

sin (24°) = (175 - 15) / (Length)

<u>Simplify value in parenthesis</u>

sin (24°) = (160) / (Length)

<u>Multiply the Length of wire on both sides</u>

sin (24°) * (Length) = (160) / (Length) * (Length)

sin (24°) * (Length) = (160)

<u>Divide sin (24°) on both sides</u>

sin (24°) * (Length) / sin (24°) = (160) / sin (24°)

Length = 160 / sin (24°)

\Large\boxed{Length~=~393.4~ft}

Hope this helps!! :)

Please let me know if you have any questions

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