Sines
For the triangle figure shown, what is the unknown side?
Expand Hint
Law of Sines:
$$$\frac{a}{sin\:A}=\frac{b}{sin\:B}=\frac{c}{sin\:C}$$$
Hint 2
For oblique (non-right) triangles, use the Law of Sines to determine unknown sides/angles:
$$$\frac{a}{sin\:A}=\frac{b}{sin\:B}=\frac{c}{sin\:C}$$$
Thus, to find side
$$c$$
with the given knowns:
$$$\frac{b}{sin\:B}=\frac{c}{sin\:C}$$$
$$$\frac{13}{sin\:17^{\circ}}=\frac{c}{sin\:32^{\circ}}$$$
$$$c=\frac{13}{sin\:17^{\circ}}\cdot sin\:32^{\circ}=\frac{13\cdot 0.5299}{0.2924}=23.6$$$
23.6
Time Analysis
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