Use the formula A=12absinC to find the area of △ABC to the nearest square yard if a=6 yards , b=12 yards , and ∠C=48 degrees .
To find the area of △ABC, we can plug in the values for a, b, and ∠C into the formula A = 1/2 * a * b * sin(∠C). Let's do the calculations step by step:
A = 1/2 * 6 * 12 * sin(48°)
A = 1/2 * 72 * sin(48°)
A ≈ 1/2 * 72 * 0.7431
A ≈ 26.6808
Since we need to round to the nearest square yard, the area of △ABC is approximately 27 square yards.