A survey drone takes off and flies 120 m north, then 50 m west, then 70 m at 40° south of east.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A survey drone takes off and flies north, then west, then at south of east. How far is it from the take-off point, and in which direction?
Need a reminder? The key ideaShow
Split every displacement into an part and a part. Add the parts, add the parts, and then put the two totals back together:
The worked solution
Have you tried it?
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.
Plan. East is and north is . Split each flight, add the parts, then combine them.
Step 1. The three flights. North: . West: . At south of east: .
Step 2. Add. and .
Step 3. Combine. . The direction is east of north.
Answer: away, almost due north: east of north.
Check. The drone flew in all, but it ended only away. The west and the south-east flights nearly cancelled across, and partly undid the northward one.
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