| Exam Board | SPS |
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| Module | SPS FM (SPS FM) |
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| Year | 2020 |
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| Session | December |
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| Topic | Sine and Cosine Rules |
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11. In the triangle \(P Q R , P Q = 6 , P R = k , P \hat { Q } R = 30 ^ { \circ }\).
i. For the case \(k = 4\), find the two possible values of \(Q R\) exactly.
ii. Determine the value(s) of \(k\) for which the conditions above define a unique triangle.