CAPE Pure Mathematics Unit 1 · May/June 2006 · Paper 1 · Question 7(a)

In the diagram, AC = BC, AD = 7 units, DC = 8 units, angle ACB = pi/2 radians and angle ADC = (2pi)/3 radians.

Find the EXACT length of AC.

This question uses a figure or table from the paper — you'll see it when you practise.