Answer:
12
Step-by-step explanation:
Hello There!
When we are given two side lengths and the included angle we use this formula to solve for the area
[tex]A=\frac{1}{2} absin(C)[/tex]
where a and b = the side lengths and c = the included angle
The triangle gives us the following information
side length - 10 ft
side length - 4 ft
included angle - 37
Given this information we plug it into the formula
[tex]A=\frac{1}{2} 4*10sin(37)\\10*4=40\\40sin(37)=24.07260093\\\frac{24.07260093}{2} =12.03630046[/tex]
Finally we round to the nearest tenth and get that the area of the triangle is 12ft²
