2025 SST PRELIMS P1 Q16

Aris cycles from \(A\) to \(B\), which is 500 m away on a bearing of \(121^\circ\). He then cycles from \(B\) to \(C\) on a bearing of \(342^\circ\), a distance of 410 m.

1. Show that \(\angle ABC=41^\circ\).[2]
2. Calculate \(AC\).[2]
3. Calculate the shortest distance from \(A\) to \(BC\).[2]