Challenge 275: Triangle Ratios - Exactly!
T is a right-angled triangle with vertices A, B, C. The angle at A is 30o and at B it is 60o. The angle at A is bisected by the line AX, where X lies on BC.
Without using a calculator, find CX:XB.
Use your work to determine the exact value of tan 15o (again without using a calculator).