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Academics – Mathematics : 2013/MAR/06
Question

Q6. (a) A ship travels 25 km on a bearing 130°.

It then travels 40 km on a bearing 200°.

Calculate EACH of the following:

(i) the distance of the ship from its starting position; (5)

(ii) the bearing the ship must take in order to return in a straight line to its starting position. (5)

(b) Determine the values of β in the range which satisfy the equation: 0° ≤ β≤ 180o

sin2 3β/2 = 0.5 (6)

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