SSS2 Math Quiz 10.3 – Bearings and distances

A ship sails \(8 \, \text{km}\) on a bearing of \(045^\circ\). It then changes its bearing to \(135^\circ\) and sails another \(6 \, \text{km}\). How far is the ship from its starting point?

What is the bearing of \(B\) from \(A\) if \(A\) is due west of \(B\)?

A man walks \(5 \, \text{km}\) on a bearing of \(060^\circ\) and then walks \(12 \, \text{km}\) on a bearing of \(180^\circ\). Find the distance between his starting point and final position.

The angle between a north-south line and the direction to a point measured clockwise is known as:

A ship sails \(10 \, \text{km}\) due east, then \(24 \, \text{km}\) due north. What is its bearing from the starting point?

If two towns \(A\) and \(B\) are \(15 \, \text{km}\) apart with \(B\) on a bearing of \(120^\circ\) from \(A\), what is the bearing of \(A\) from \(B\)?

A pilot flies \(50 \, \text{km}\) on a bearing of \(030^\circ\) and then \(120 \, \text{km}\) on a bearing of \(270^\circ\). How far is the plane from its original position?

In navigation, bearings are measured:

A cyclist travels \(7 \, \text{km}\) north, then \(24 \, \text{km}\) east. What is the bearing of the cyclist’s final position from the starting point?

If a ship travels \(30 \, \text{km}\) north and then \(40 \, \text{km}\) east, what is the distance between its starting and final position?