Applying the law of sines, the measurement indicated are:
7. AB = 24.1 cm
8. BC = 28.0 in.
What is the Law of Sines?
Law of sines is: sin A/a = sin B/b = sin C/c.
7. AB (c) = ?
BC (a) = 22 cm
A = 180 - 138 - 22 = 20°
C = 22°
Apply the law of sines:
sin 22/AB = sin 20/22
AB = (sin 22 × 22)/sin 20
AB = 24.1 cm
8. BC (a) = ?
A = 58°
AC (b) = 33 in.
B = 180 - 58 - 33 = 89°
Apply the law of sines:
sin 58/BC = sin 89/33
BC = (sin 58 × 33)/sin 89
BC = 28.0 in.
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