46. In \( \triangle A B C \), if \( \mathrm{m} \angle A=50^{\circ}, \mathrm{m} \angle B=79^{\circ} \), and \( \mathrm{c}=8 \mathrm{~cm} \), then \( \mathrm{a}= \) \( \qquad \)
A. \( 7.89 \mathrm{~cm} \)
B. \( 7.77 \mathrm{~cm} \)
C. \( 7.55 \mathrm{~cm} \)
D. \( 7.51 \mathrm{~cm} \)
47. In \( \triangle A B C \), if \( m \angle A=35^{\circ}, m \angle B=25^{\circ} \), and \( a=5 \mathrm{~cm} \), then \( b= \) \( \qquad \)
A. \( 3.68 \mathrm{~cm} \)
B. \( 3.78 \mathrm{~cm} \)
C. \( 3.88 \mathrm{~cm} \)
D. \( 3.98 \mathrm{~cm} \)
48. In \( \triangle A B C \), if \( \mathrm{m} \angle A=13^{\circ}, \mathrm{m} \angle B=44^{\circ} \), and \( \mathrm{a}=16 \mathrm{~cm} \), then \( \mathrm{c}= \) \( \qquad \)
A. \( 49.4 \mathrm{~cm} \)
B. \( 56.3 \mathrm{~cm} \)
C. \( 59.65 \mathrm{~cm} \)
D. \( 65.1 \mathrm{~cm} \)
49. In the given triangle at the right, \( m \angle A=81^{\circ} \) and \( m B=67^{\circ} \). If side \( a \) is \( 34 \mathrm{~cm} \) long, approximately how long is side \( b \) ?
A. \( 32 \mathrm{~cm} \)
C. \( 22 \mathrm{~cm} \)
B. \( 30 \mathrm{~cm} \)
D. \( 20 \mathrm{~cm} \)
50 . In the given triangle at the right, \( \mathrm{m} \angle A=137^{\circ} \) and \( \mathrm{m} \angle B=28^{\circ} \). If side \( b \) is \( 71 \mathrm{~cm} \) long, approximately how long is side a?
A. \( 77 \mathrm{~cm} \)
B. \( 84 \mathrm{~cm} \)
C. \( 98 \mathrm{~cm} \)
D. \( 103 \mathrm{~cm} \)
