Bearings and Distances

The bearing of two points Q and R from a point P are 030º and 120º, respectively. If |PQ| = 12 m and |PR| = 5 m, find the distance QR.

A boat sails 8 km north from P to Q and then sails 6 km west from Q to R. Calculate the bearing of R from P. Give your answer to the nearest degree.

A student pilot was required to fly to an airport and then return as part of his flight training. The average speed to the airport was 120 km/h, and the average speed returning was 150 km/h. If the total flight time was 3 hours, calculate the distance between the two airports.

A ship sets sail from port A (86\(^o\)N, 56\(^o\)W) for port B (86\(^o\)N, 64\(^o\)W), which is close by. Find the distance the ship covered from port A to port B, correct to the nearest km. [Take \(\pi\) = 3.142 and R = 6370 km]

John was facing S35°E. If he turned 90° in the anticlockwise direction, find his new direction.