#### Answer

$B = arcsin(1.36)$
Since there is no angle $B$ such that $sin~B \gt 1$, the angle $B$ is not defined. When we try to use a calculator to find angle $B$ the calculator will say "error" or "undefined".

#### Work Step by Step

We can use the law of sines to find the angle $B$:
$\frac{a}{sin~A} = \frac{b}{sin~B}$
$sin~B = \frac{b~sin~A}{a}$
$sin~B = \frac{(20.4~ft)~sin~(103^{\circ}20')}{14.6~ft}$
$sin~B = 1.36$
$B = arcsin(1.36)$
Since there is no angle $B$ such that $sin~B \gt 1$, the angle $B$ is not defined. When we try to use a calculator to find angle $B$, the calculator will say "error" or "undefined".