throwback maths 6

throwback 6
Solution

The hypotenuse of the triangle is twice the length of the side; which is a basic property of hexagons (this can be quickly established by adding lines from the centre of the hexagon to every vertex - subdividing the hexagon into six equilateral triangles). It follows that 

$$\sin\theta = \frac{1}{2} \Rightarrow \theta = 30^\circ$$