use the formula a=1/2 ab sin C to find the area of △ABC to the nearest square yard if a=6 yards, b=12 yards, and ∠C=48 yards
the answer is either 40 yards^2,40 yards^2,27yards^2 or 24 yards^2
To find the area of △ABC, we can use the formula:
a = 1/2 * ab * sin(C)
Given that a = 6 yards, b = 12 yards, and ∠C = 48 degrees, we can substitute these values into the formula:
Area = 1/2 * 6 * 12 * sin(48)
Using a calculator, we find that sin(48) is approximately 0.7431448255.
Plugging this value back into the formula:
Area = 1/2 * 6 * 12 * 0.7431448255
Area ≈ 26.678012318
Since we are asked to give the answer to the nearest square yard, the area of △ABC is approximately 27 yards^2.
Therefore, the correct answer is 27 yards^2.