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 guy wires will be anchored on the ground at three equally spaced location in a circle around the tower.
-The distance of the anchor points from the base of the tower will be one quarter the height of the tower.
-There will be five guy wires from each anchor point. The guy wires will be attatched to five points on the tower at 20 m intervals, going up.
Calculate the total amount of guy wire needed. Each guy wire requires 2 m at each end to attatch it to the tower and base. Round your answer to the closest metre. Show all your work. (You must use the pythagorean theorem to solve).
2006-11-26 06:13:14 · 2 answers · asked by ;) 3 in Science & Mathematics ➔ Mathematics
It would really help to draw a diagram here, but...
There are 3 sets of 5 guy wires, so we really only have to deal with one set and multiply by 3 at the end.
The base of each triangle will be 1/4 x 100m = 25m.
The heights of the triangles will be 20, 40, 60, 80, and 100.
Calculate the hypotenuse in each case, add on 2 meters to each hypotenuse, add all the answers together, and multiply by 3.
Need me to go further?
2006-11-26 06:32:15 · answer #1 · answered by Jim Burnell 6 · 1⤊ 0⤋
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GL!
â¥
2006-11-26 14:21:48 · answer #2 · answered by KatastropheGirl™ 3 · 0⤊ 1⤋