Find the length of the b side of the mathrm Del... - SS2 Mathematics Trigonometric Ratios II Question
Find the length of the b side of the \(\mathrm{\Delta}ABC\) which have \(\angle A = 62{^\circ},\ \angle B = 26{^\circ}\ \)and\(\ a = 3.80cm\) using the sine rule
A
1.59cm
B
2.34cm
C
1.89cm
D
2.72cm
correct option: c
Using the sine rule, \(\frac{a}{\sin A} = \frac{b}{\sin B}\)
\[\frac{3.80}{\sin 62} = \frac{b}{\sin 26}\]
\(b = \ \frac{\sin 26 \times 3.80}{\sin 62} = \ \frac{0.4384 \times 3.8}{0.8829} = 1.89cm\)
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