2026 CCHY P2 Q4

A pole stands vertically on level ground. From point \(A\), the angle of elevation of the top of the pole is \(45^\circ\). After walking directly towards the pole by \((2\sqrt3-2)\) m to the point \(B\), the angle of elevation becomes \(60^\circ\). Find the exact height of the pole, giving your answer in the form \(a\sqrt3\), where \(a\) is an integer.[4]