You may also like

problem icon

Weekly Problem 5 - 2012

Weekly Problem 5 - 2012

problem icon

Weekly Problem 34 - 2013

Weekly Problem 34 - 2013

problem icon

Weekly Problem 11 - 2011

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

Weekly Problem 33 - 2009

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 linkingthe three buildings is isosceles, so the two missing angles are equal, so are both $30^\circ$.So:

solution

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.

View the previous week's solution
View the current weekly problem