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 = \(\frac{base}{hypotenuse}\)
cos 67 ° = \(\frac{BC}{AC}\)
\(0.39=\frac{137}{AC}\)
AC = 351.28 feets \(\approx\) 351 feets.
From the given option the closest value to our answer is 350.62 feets.
Hence, the correct option is 350.62 feets.
