Academics – Mathematics : 2012/MAR/06
Question
Q6. (a) A ship on a bearing 197° from a lighthouse measures the angle of elevation of the top of the lighthouse as 13°. After sailing 144 metres the ship is on a bearing 178° from the lighthouse and the angle of elevation to the top of the lighthouse is then 9°.
Calculate the height of the lighthouse. (10)
(b) Fig Q6(b) shows the major segment of a circle of radius 75 mm.
Chord AB is 120 mm.
Determine the perimeter of the segment. (6)
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