In the given example, what is the height of the guy attachment above the ground?

In the given example, what is the height of the guy attachment above the ground?

• A. 28.5 feet
• B. 30 feet
• C. 25 feet
• D. 32 feet

Answer: (A)

Treat the guy wire as the hypotenuse of a right triangle formed by the ground, the pole, and the wire. The height where the wire attaches is the vertical leg of that triangle. If you know the horizontal distance from the base to the anchor point and the angle the wire makes with the ground, you use height = distance × tan(angle). If you know the wire’s length and the angle with the ground, you use height = wire length × sin(angle). In the provided setup, the given measurements lead to a height of 28.5 feet, so that’s the value that matches the data. The other options come from using different input values (distance, angle, or wire length) and would yield other heights.

Treat the guy wire as the hypotenuse of a right triangle formed by the ground, the pole, and the wire. The height where the wire attaches is the vertical leg of that triangle. If you know the horizontal distance from the base to the anchor point and the angle the wire makes with the ground, you use height = distance × tan(angle). If you know the wire’s length and the angle with the ground, you use height = wire length × sin(angle). In the provided setup, the given measurements lead to a height of 28.5 feet, so that’s the value that matches the data. The other options come from using different input values (distance, angle, or wire length) and would yield other heights.