Answer:
[tex]A=3276\ ft^2[/tex]
Step-by-step explanation:
Given that,
The sides of a parallelogram are 49 feet and 78 feet. The measure of the angle between these sides is 59º.
We need to find the area of the parallelogram.
Using trigonometry,
[tex]\sin(59)=\dfrac{h}{49}\\\\h=\sin(59)\times 49\\\\h=42.00\ ft[/tex]
We know that,
Area = base (b) × height (h)
So,
[tex]A=78\times 42.00\\\\A=3276\ ft^2[/tex]
So, the area of the parallelogram is equal to [tex]3276\ ft^2[/tex].
