This problem asks you to "redo" Example #4 in this section with different numbers.
Read this example carefully before attempting this problem.
Solve triangle ABC if $\angle A = 43.1^\circ$, $a = 183.2$, and $b = 243.7$.
$\sin B = $
(round answer to 5 decimal places)
There are two possible angles B between $0^\circ$ and $180^\circ$ with this value for sine. Find the two angles, and
report them so that $\angle B_1$ is the acute angle.
$\angle B_1 = $ and $\angle B_2 = $
(round these and all remaining answers to 1 decimal place)
Thus, two triangles satisfy the given conditions: triangle $A_1B_1C_1$ and triangle $A_2B_2C_2$.
Solve the first triangle: $A_1B_1C_1$
$\angle C_1 = $ and $c_1 = $
Solve the second triangle: $A_2B_2C_2$
$\angle C_2 = $ and $c_2 = $