In triangle ABC, two angles angle A and C are already given
Angle A =33.7
Angle C = 26.4
We know that the sum of angles in a triangle is 180 degree
Angle A + B + C = 180
33.7 + angle B + 26.4 = 180
60.1 + angle B = 180
Angle B = 119.9 degrees
Now we use sin angle formula to find b. Given a=24
[tex]\frac{sin (A)}{a} =\frac{sin(B)}{b}[/tex]
[tex]\frac{sin(33.7)}{24} =\frac{sin(119.9)}{b}[/tex]
[tex]b =\frac{sin(119.9)*24}{sin(33.7)}[/tex]
b = 37.4979
Round answer to two decimal places
b = 37.50
