You may also like

problem icon

Sense of Direction

Weekly Problem 5 - 2012
Can you work out the direction of Abbots Morton from Wyre Piddle?

problem icon

Turning N Over

Weekly Problem 34 - 2013
A card with the letter N on it is rotated through two different axes. What does the card look like at the end?

problem icon

Kangaroo Hops

Weekly Problem 11 - 2011
Kanga hops ten times in one of four directions. At how many different points can he end up?


Stage: 3 Short Challenge Level: Challenge Level:1

We are given:

Diagram of information given in question
We want to find the bearing of the School from the Church, which is the green angle marked on the diagram. We can use the fact that the angles in a triangle sum to $180^\circ$ to mark in some other angles

More angles marked in
We know the triangle linking the three buildings is isosceles, so the two missing angles are equal, so are both $30^\circ$.So:


So the green angle is $180^\circ+30^\circ = 210^\circ$, so the bearing of the School from the Church is $210$.

This problem is taken from the UKMT Mathematical Challenges.