## Trigonometry (11th Edition) Clone

The angle $B$ is not defined. There are no triangles which can be formed with the given values in the question. A piece of property given in the question could not exist.
Let $a = 21.9~yd$ Let $b = 78.3~yd$ Let angle $A = 38^{\circ}50'$ Let angle $B$ be the angle that subtends the side $b$. We can use the law of sines to find $B$: $\frac{a}{sin~A} = \frac{b}{sin~B}$ $sin~B = \frac{b~sin~A}{a}$ $sin~B = \frac{(78.3)~sin~38^{\circ}50'}{21.9}$ $sin~B = 2.24$ Since there is no angle $B$ such that $sin~B \gt 1$, the angle $B$ is not defined. There are no triangles which can be formed with the given values in the question. A piece of property given in the question could not exist.