The angle of depression from a lookout at the top of a lighthouse (A) down to a boat at point C is 30°. The boat travels towards the lighthouse and after 1 minute has travelled a distance of 50 m and is now located at point B. The angle of elevation from the boat at B up to the lighthouse lookout is 60°. 30° h. 60 50 m (a) Write down the value of x° in the diagram. (b) Find the height of the lighthouse. (c) Find the speed of the boat, in metres per second, from C to B.

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