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 degrees. Find the area of the park to the nearest square foot.

Answer 1

Answer:111739 ft

Explanation:

the guy Above me is correct

Answer 2

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

Explanation:

Since, the area of a triangle is,

`A=(1)/(2)* s_1* s_2* sin\theta`

Where,
`s_1` and
`s_2` are the adjacent sides and
`\theta` 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,
`s_1` = 533 ft,
`s_2` = 525 ft and
`\theta` = 53°,

Hence, the area of the park is,

`A=(1)/(2)* 533* 525* sin 53^(\circ)`

`=(279825* 0.79863551004)/(2)`

`=(223478.181599)/(2)=111739.090799\approx 111739\text{ square ft}`