Chapter 7 - Applications of Trigonometry and Vectors - Section 7.2 The Ambiguous Case of the Law of Sines - 7.2 Exercises - Page 304: 10

There are no triangles which can be formed with the given parts.

We can use the law of sines to find the angle $A$: $\frac{b}{sin~B} = \frac{a}{sin~A}$ $sin~A = \frac{a~sin~B}{b}$ $sin~A = \frac{(82)~sin~(100^{\circ})}{60}$ $sin~A = 1.3459$ Since there is no angle $A$ such that $sin~A \gt 1$, the angle $A$ is not defined. There are no triangles which can be formed with the given parts.