A park in a subdivision is triangular shaped. Two adjacent sides of the park are 573 feet and 536 feet. The angle between the sides is 58°. To the nearest unit, find the area of the park in square yards.

As our answers are in yards first convert from given dimensions in ft

573 / 3 = 191 yd

536 / 3 = 178.67 yd

If we draw a parallelogram with horizontal sides 191 yards long and diagonal sides 178.67 yards long at 58 degrees from horizontal, the area of the unknown triangle will be exactly half the the area of the parallelogram. The area of the parallelogram is the base length multiplied by the distance between the horizontal lines or in this case h = 178.67sin58

A = ½bh

A = ½ (191) 178.67sin58

A = 14470 sq yds