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Magazine Problem 86
For the following exercises, assume \(\alpha\) is opposite side \(a, \beta\) is opposite side \(b,\) and \(\gamma\) is opposite side \(c\) . If possible,,solve each triangle for the unknown side. Round to the nearest tenth. $$\gamma=115^{\circ}, a=18, b=23$$
Problem 87
For the following exercises, assume \(\alpha\) is opposite side \(a, \beta\) is opposite side \(b,\) and \(\gamma\) is opposite side \(c\) . If possible,,solve each triangle for the unknown side. Round to the nearest tenth. $$\alpha=119^{\circ}, a=26, b=14$$
Problem 88
For the following exercises, assume \(\alpha\) is opposite side \(a, \beta\) is opposite side \(b,\) and \(\gamma\) is opposite side \(c\) . If possible,,solve each triangle for the unknown side. Round to the nearest tenth. $$\gamma=113^{\circ}, b=10, c=32$$
Problem 89
For the following exercises, assume \(\alpha\) is opposite side \(a, \beta\) is opposite side \(b,\) and \(\gamma\) is opposite side \(c\) . If possible,,solve each triangle for the unknown side. Round to the nearest tenth. $$\beta=67^{\circ}, a=49, b=38$$
Problem 91
For the following exercises, assume \(\alpha\) is opposite side \(a, \beta\) is opposite side \(b,\) and \(\gamma\) is opposite side \(c\) . If possible,,solve each triangle for the unknown side. Round to the nearest tenth. $$\alpha=36.6^{\circ}, a=186.2, b=242.2$$
Problem 92
For the following exercises, assume \(\alpha\) is opposite side \(a, \beta\) is opposite side \(b,\) and \(\gamma\) is opposite side \(c\) . If possible,,solve each triangle for the unknown side. Round to the nearest tenth. $$\beta=50^{\circ}, a=105, b=45$$
Problem 93
For the following exercises, use the Law of Cosines to solve for the missing angle of the oblique triangle. Round to the nearest tenth. \(a=42, b=19, c=30 ;\) find angle \(A\)
Problem 94
For the following exercises, use the Law of Cosines to solve for the missing angle of the oblique triangle. Round to the nearest tenth. \(a=14, b=13, c=20 ;\) find angle \(C\)
Problem 95
For the following exercises, use the Law of Cosines to solve for the missing angle of the oblique triangle. Round to the nearest tenth. \(a=16, b=31, c=20 ;\) find angle \(B\)
Problem 96
For the following exercises, use the Law of Cosines to solve for the missing angle of the oblique triangle. Round to the nearest tenth. \(a=13, b=22, c=28 ;\) find angle \(A\)
