Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

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.

(3 points)

Answer 1

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

Area = 0.5 * base * height

First, we need to find the height of the triangle. We can use the sine of the angle 53° to find the height:

sin(53°) = height / 533
height = 533 * sin(53°)
height ≈ 430.79 feet

Now we can calculate the area:

Area = 0.5 * 525 * 430.79
Area ≈ 113,976.98 square feet

Therefore, the area of the park is approximately 113,976 square feet.