A lighthouse, L, is located 8 kilometres due East of a coastguard station, C, on a straight stretch of coastline.
The coastguard station sees a Jet Ski, J, on a bearing of 062∘ and at a distance of 5.5 kilometres. This is shown on the following diagram.
diagram not to scale
While travelling due South, the Jet Ski breaks down at point B, before it reaches the coastline. The position of the Jet Ski at B and the lighthouse are shown in the following diagram.
diagram not to scale
From the top of the 60-metre-tall lighthouse, the angle of depression to the Jet Ski at B, is measured to be 0.94∘.
The bearing from the Jet Ski at B to the lighthouse is 121∘.
The jet-skier sets off a distress flare which is seen at the lighthouse and the coastguard station at the same time.
The lighthouse has a small rescue boat which travels at a speed of 48 kmh−1.
The coastguard rescue boat travels at a speed of 55 kmh−1 and sets out at the same time as the lighthouse rescue boat.