MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures
Problem
Two yachts are sailing close to a dangerous reef. The captain of the *Porpoise* notices a lighthouse 2.4 km away on the bearing 223∘. The captain of the *Queen Maria* measures the lighthouse as 2.1 km away. He also observes the *Porpoise* to the right of the lighthouse, with an angle of 53∘ between them.
(1) Display this information on a diagram.
(2) Find the distance between the yachts.
(3) Find the bearing of the *Queen Maria* from the *Porpoise*.