From rectangular component, the distance of the port north of the reef is 25.9808 km.
It is given that a fishing trawler sails 30 km from port on a bearing of 120° until it reaches a submerged reef.
Thus the direction of the fishing trawler is given to be 120° with respect to the movement of the trawler.
Resolving the direction by the horizontal and vertical components, we get
The horizontal component of distance is |30*cos(120°)| = 15 km
The vertical component of distance is |30*sin(120°)| = 25.9808 km
Thus as we have to find the north direction or the vertical component, the distance is 25.9808 km.
Therefore, from rectangular component, the distance of the port north of the reef is 25.9808 km.
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