Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Two drones hover at and , with distances in metres measured from a pole at the origin. A signal relay is placed at the midpoint of the straight line from one drone to the other. Find the three coordinates of the relay.
The point that divides internally in the ratio is , coordinate by coordinate. For an external division use . A coordinate plane such as divides in the ratio .
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.
Step 1. The midpoint. , and .
Check. The relay is high, between the heights and of the drones.
Answer: the relay is at .
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