a park in a subdivision is triangular shaped. two adjacent sides of the park are 503 feet and 516 feet. the angle between us 38. to the nearest unit what is the area of the park in square yards

Answer 1

To find the area of the triangular park, we can use the formula: Area = 0.5 * a * b * sin(C), where a and b are the lengths of the two adjacent sides, and C is the angle between them.

Given:
a = 503 feet
b = 516 feet
C = 38 degrees

First, convert the lengths of the sides from feet to yards:
503 feet = 503/3 = 167.67 yards
516 feet = 516/3 = 172 yards

Now, we can use the formula to find the area:
Area = 0.5 * 167.67 * 172 * sin(38)
Area = 0.5 * 28806.84 * sin(38)
Area = 0.5 * 28806.84 * 0.620
Area = 0.5 * 17871.257
Area ≈ 8940.628 square yards

Therefore, to the nearest unit, the area of the triangular park is approximately 8941 square yards.