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Q6 a. A vessel travels 64.5 miles on a bearing 075°.

It then travels 48 miles on a bearing 130°.

Calculate EACH of the following:

i. The distance of the vessel from its starting position; (6)

ii. The bearing of the vessel from its starting position. (6)

b. Determine the value of θ in the range 0° < θ < 90° which satisfies the equation:

3sin²⁡θ-cos²⁡θ = 1  (4)

Note: sin²⁡ θ + cos²⁡ θ = 1