Chapter Task: Transmission Towers

*Used for schoolwork, not for commercial purposes.*

Imagine that you are an engineer. You are designing a radio transmission tower that will be 100 m high. It will be supported by cables, called guy wires, as follows:

  • The guys wires will be anchored on the ground at three equally spaced locations in a circle around the tower.
  • The distance of the anchor points from the base of the tower  will be one quarter of the height of the tower.
  • There will be five guy wires from each anchor point. The guy wires will be attached to five points on the tower at 20 m intervals, going up.

A. Draw a diagram as if you were looking down at the base of the tower. Show the location of the three anchor points. Explain how you know that the anchor points are equally spaced around the tower, and that they are all the same distance from the base of the tower.

B. How far are the anchor points from the base of the tower?

C. Draw a side view of the tower, showing all the guy wires from one anchor point.

D. Calculate the total amount of guy wire needed. Each guy wire requires 2 m at each end to attach it to the tower and the base. Round your answer to the closest metre. Show all your work.

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