Answer:
The area is 89.34 sq. ft
Explanation:
The area of a triangle is given as:
[tex]A=\frac{1}{2}bh[/tex]
Where b is the breadth and h the height.
See sketch below. The third side of the triangle is obtained using the statement "The sum of angles in a triangle is 180 degrees".
Using sine rule to find the height of the triangle, we have:
[tex]\begin{gathered} \frac{17}{\sin108}=\frac{AB}{\sin36} \\ \\ AB=\frac{17\sin36}{\sin108}=10.51 \\ \end{gathered}[/tex]
Finally, we can find the area as:
[tex]A=\frac{1}{2}\times17\times10.51=89.34ft^2[/tex]
