Question 1

Paper 2, calculatorMedium6 marks

In triangle ABCABC angles A,B,CA,B,C are measured in degrees. Using the usual notation for sides opposite the corresponding angles, A=30∘A=30^\circ a=6 cma=6\text{ cm} and b=9 cmb=9\text{ cm}

(a)

Show that sin⁡B=0.75\sin B=0.75

[2]
(b)

Hence determine all possible values of BB and the corresponding values of CC correct to the nearest 0.1∘0.1^\circ Explain why the sine rule permits two possibilities here.

[4]

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