Two boats approach a light house in the middle of the sea from opposite directions. The angles of elevation of the top of the light house from two boats are a and ß. If the distance between the two boats is x metres, prove that the height of the light house is 10. h cot a + cotß (i) Find h if a = 60°, B = 45° and x = 250 m (ii) Find h if a = 60°, B = 30° and x = 400 m

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