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 WORK

Answer 1

The area of the park is 1,11,739 square feet.

Explanation:

Since, the area of a triangle is,

Where, and are the adjacent sides and is the included angle of these sides,

Here, the two adjacent sides of the park are 533 feet and 525 feet, while, the angle included by these sides is 53°.

That is, = 533 ft, = 525 ft and = 53°,

Hence, the area of the park is,

Explanation:

Two adjacent sides of the park say x and y are,

x=533feet

y=525feet

A=53º

area=1/2*b*c*sin(A)

111739 feet^2