Question

In the following triangle, find the values of the angles B and B’, which are the best approximations to the solutions of this ambiguous case.

Please explain. Thank you!

Answer 1

use law of sines

\[\frac{\sin B}{22} =\frac{ \sin 45}{16.5}\]
\[B = \sin^{-1} (\frac{11 \sqrt{2}}{16.5})\]
This gives 2 solutions, B and B'

Answer 2

also B and B' must add to 180 degrees

Answer 3

Answer B. then b=70.05 and b'=109.95 right?

Answer 4

70.05 to 109.95 = 180

Answer 5

correct

Answer 6

Thank you for your time and help!

Answer 7

yw :)