2026 CSS P2 Q6

\(ABC\) and \(ADC\) are two walking routes around an island.

\(AB=1.2\text{ km}\), \(AC=1.4\text{ km}\) and \(BC=900\text{ m}\).

Angle \(ADC=122^\circ\), angle \(DAC=33^\circ\) and angle \(ACD=25^\circ\).

1. Calculate angle \(BAC\).[3]
2. Calculate the shortest distance from \(D\) to a point along the path \(AC\).[3]
3. A drone is hovering vertically above point \(D\) at a height of \(300\text{ m}\). Find the largest angle of depression from the drone to a point along path \(AC\).[2]
4. \(A\) is due west of \(C\). Find the bearing of \(A\) from \(B\).[1]