Answer:
Third option
Step-by-step explanation:
Given the following question:
Side c = 24 units
Angle B = 30 degrees
Angle C = 60 degrees
30 + 60 = 90
90 + 90 = 180
(all angles add up to 180 degrees)
Angle A = 90 degrees
Apply the law of sines:
[tex]a=c\times sin(a)[/tex]
[tex]a=24\times sin(60)=20.7846097[/tex]
[tex]20.7846097[/tex]
[tex]8 > 5[/tex]
[tex]20.8[/tex]
Now we have all the angles and two of the sides:
A = 20.8
C = 24
[tex]b=c\times sin(b)[/tex]
[tex]b=24\times sin(30)=12[/tex]
B = 12 units
Angle A - 90 degrees
Angle B - 30 degrees
Angle C - 60 degrees
Side AC - 12 units
Side BC - 24 units
Side BA - 20.8 units
Hope this helps.
