Question 1126588
use LAW OF SINES

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

 
given:

{{{A = 44}}}°, {{{a = 33ft}}}, {{{b = 36ft}}}

(assume {{{B <= 90}}}°) ...as you can see {{{b>a}}}, means {{{B>A}}}


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

{{{sin(44)/33=sin(B)/36}}}

{{{36*sin(44)/33=sin(B)}}}

{{{sin(B)=12*sin(44)/11}}}

{{{sin(B)=0.7578}}}

{{{B=sin^-1(0.7578)}}}

{{{B=49.27}}}° ......Round your answer to the nearest whole number

{{{B=49}}}° 

{{{C=180-(44+49)}}}

{{{C=180-93}}}

{{{C= 87}}}°


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

{{{c*sin(B)=b*sin(C)}}}

{{{c=(b*sin(C))/sin(B)}}}

{{{c=(36*sin(87))/sin(49)}}}

{{{c=47.64}}}....round

{{{c=48}}}



 (assume {{{B >= 90}}}°)
 
if {{{B >= 90}}}°, then {{{b>36ft}}}, and  you are given {{{b = 36ft}}}

so, that triangle is {{{not}}} possible