0580 P42 - Jun 2023 - Q7 - 11 marks
12054
\(AC=60\) km, \(CB=87\) km; \(B\) is due east of \(A\) and \(C\) has bearing 038° from \(A\).
(a) Show that \(\angle ACB=95.1^\circ\), correct to 1 decimal place. [5]
(b) A car travels \(A\to C\to B\to A\) without stopping in 3 hours 20 minutes. Calculate its average speed in km/h. [6]