Aguy-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 ground at a point 137 feet from the base of the pole, what is the length of the guy wire (round to 2 decimal . a) 58.15 feet. b) 143.40 feet. c) 148.83 feet. d) 350.62 feet

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.

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer