Question

A park in a subdivision has a triangular shape. Two adjacent sides of the park are 533 feet and 525 feet. The angle between the sides is 53°. Find the area of the park to the nearest square foot. (show your work)

Answer 1

To find the area of the park, we can use the formula for the area of a triangle:

Area = 1/2 * base * height

First, we need to find the height of the triangle. We can do this by using the sine of the angle between the two sides:

sin(53°) = height / 533

height = 533 * sin(53°)
height ≈ 422.29 feet

Now, we can calculate the area of the triangle:

Area = 1/2 * 525 * 422.29
Area ≈ 110,633.04 square feet

Therefore, the area of the park is approximately 110,633 square feet.