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A cable runs from the top of one mast at A(1, 2, 3) to the top of another mast at B(7, 5, 12), with…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A cable runs from the top of one mast at to the top of another mast at , with all lengths in metres. A hanger is fixed at the point so that . A guy wire continues the line of the cable beyond to a point with . Find the coordinates of . Then find the -coordinate of .
Need a reminder? The key ideaShow
The worked solution
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Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The point . .
Step 2. The point . .
Check. and . So , which gives with between and .
Answer: and the -coordinate of is metres.
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