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Overbearing

Age 11 to 14 Short Challenge Level:



In a village, the pub is $300 \; \text{m}$ due north of the school, and the church is $300 \; \text{m}$ from the pub, at a bearing of $060^\circ$.

What is the bearing of the school from the church?

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

 

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.