Question

A guy wire is attached to the top of a 25-foot telephone pole. If the wire makes an angle of 30 degrees with the horizontal, how long is the guy wire?

a) 29.8 feet
b) 31.2 feet
c) 32.7 feet
d) 34.1 feet

Answer 1

To find the length of the guy wire, we can use trigonometry. The length of the guy wire is approximately 32.7 feet.

Step-by-step explanation:

To find the length of the guy wire, we can use trigonometry. Since the wire makes an angle of 30 degrees with the horizontal, we can consider this as the reference angle. The guy wire forms a right triangle with the pole and the horizontal. The length of the guy wire is the hypotenuse of this triangle.

Using the sine function, we can write:

sin(30°) = opposite/hypotenuse = 25ft/hypotenuse

Solving for the hypotenuse, we have:

hypotenuse = 25ft / sin(30°)

Calculating this, we find that the length of the guy wire is approximately 32.7 feet (c).