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 Form 4 Mathematics : Longitudes and Latitudes Topical Questions and Answers

An aeroplane flies from point A (1015S,370E) to a point B directly North of A. The arc AB subtends an angle of 450 at the centre of the earth. From B, the aeroplane flies due west to point C on longitude 230W. (Take the value of π as227 and radius of the earth as 6370km)
(a) (i) Find the latitude of B (ii) Find the distance travelled by the aeroplane between B and C
(b) The aeroplane left B at 1.00 am local time. When the aeroplane was leaving B, what was the local time at C?

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