A guy-wire is attached to a pole for support. If the angle of elevation to the pole is 67° and the wire is attached to the groun
d at a point 137 feet from the base of the pole, what is the length of the guy wire (round to 2 decimal places)?. . A) 58.15 feet. . B) 143.40 feet. . C) 148.83 feet. . D) 350.62 feet
2 answers:
Answer: The correct option is 350.62 feets.
Step-by-step explanation:
Let the triangle Δ ABC
the length of wire = AC
Height of the pole = AB
Length between the point of attachment of wire from base of the pole = BC = 137 feets
Angle of elevation to the pole = θ = 67 °
According to trigonometry :
cosθ =
cos 67 ° =
AC = 351.28 feets 351 feets.
From the given option the closest value to our answer is 350.62 feets.
Hence, the correct option is 350.62 feets.
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