To find the area of the triangle, we can use the formula:
Area = (1/2) * a * b * sin(C)
First, we need to convert the angle C from degrees and minutes to just degrees. To do this, we use the formula:
C = 83 + 24/60 = 83.4 degrees
Now we can use the formula for the area:
Area = (1/2) * 4 * 9 * sin(83.4)
Area ≈ (1/2) * 4 * 9 * 0.9962
Area ≈ 17.93
Rounded to the nearest hundredth, the area of the triangle is 17.93 square units.