The position of two towns A and B on the earths surface are 36 N 49 E and 36 N

The position of two towns a and b on the earths

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19. The position of two towns A and B on the earth’s surface are (36 0 N, 49 0 E) and 36 0 N, 131 0 W) respectively. a) Find the longitudinal difference between town A and B. (2marks) b) Given that the radius of the earth is 6370 km, calculate the distance between towns A and B (take = 22) 7 i) along a circle of latitude. (2marks) ii) along the great circle. (3marks) c) Another town , C, is 840km East of town B and on the same latitude as town A and B. Find the longitude of town C. (3marks) 11
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20. The table below gives corresponding values of Y and X which are suspected to obey the law of Y=ax 2 + bx, where a and b are constants. X 0.25 2.58 5.25 8.00 9.5 Y 4.6 38.5 121.3 235.1 324.5 a) State a linear equation connecting X and Y. (2marks) b) Draw a suitable linear graph and hence estimate the values of a and b. (7marks) c) Hence state the equation connecting Y and X. (1mark) 12
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