Question 1080292
side {{{a = 16.4mi}}}
< {{{B = 54}}}°
side {{{b = 25.3mi}}}

 {{{a/ sin( A) = b /sin (B )= c/ sin( C )}}}


 {{{a/ sin( A) = b /sin (B )}}}
 {{{16.4/ sin( A) = 25.3 /sin (54 )}}}
{{{16.4/ sin( A) = 25.3 /0.8090169943749}}}
{{{16.4*0.8090169943749  = 25.3 *sin( A)}}}

{{{13.26787870774836  = 25.3 *sin( A)}}}

{{{13.26787870774836/25.3 =sin( A)}}}

{{{0.52442208331 =sin( A)}}}

{{{A =sin^-1(0.52442208331 )}}}

{{{A =sin^-1(0.52442208331 )}}}

< {{{A=31.6}}}

then
<C= 180-(31.6+54)=  94.4}}}

{{{16.4/ sin( 31.6) = c/ sin( 94.4 )}}}

{{{16.4/ 0.52442208331 = c/0.151633}}}


{{{31.2986 = 1.00296 c}}}

{{{31.2986/1.00296 = c}}}

{{{c=31.2}}}

answer is: b.&#61648;A = 31.6°, &#61648;C = 94.4°, c = 31.2 mi