Answer:
[tex]Area = 9.405[/tex]
Step-by-step explanation:
Given
[tex]x = 20^\circ[/tex]
[tex]b =11[/tex]
[tex]c = 5[/tex]
See attachment for triangle
Required
Calculate the area
The area is calculated as:
[tex]Area = \frac{1}{2}*ab*sinC[/tex]
In this case, it is:
[tex]Area = \frac{1}{2}*bc*sinX[/tex]
So, we have:
[tex]Area = \frac{1}{2}*11 * 5*sin(20^\circ)[/tex]
[tex]Area = \frac{1}{2}*11 * 5*0.3420[/tex]
[tex]Area = \frac{1}{2}*18.81[/tex]
[tex]Area = 9.405[/tex]
