Lucy travelled on a bearing of $39^\circ$39° from point A to point B. She then travelled on a bearing of $159^\circ$159° for $17$17 km to point C which is east of point A.
Find the size of the angle $\angle CAB$∠CAB.
Find the size of the angle $\angle ABC$∠ABC
Solve for $x$x, the distance Lucy would have to travel due east to return to point A.
Give your answer to two decimal places.
Point C has a bearing of $142$142° from Point A. If Point B is $19$19 kilometres West of Point A, what is the distance, $x$x, between Point B and Point C?