Question

A park in a subdivision has a triangular shape two adjacent side of the park are 433 and 520 the angle between the sides is 37 find the area of the park to the nearest square foot hint use theorem 10-8

Answer 1

`67750.644 ft^2`

Explanation:

Given : A park in a subdivision has a triangular shape two adjacent side of the park are 433 and 520 the angle between the sides is 37

To Find: the area of the park to the nearest square foot

Solution:

Refer the attached figure

Area of triangle =
`(1)/(2) * a * b * sin c`

a = 433

b=520

Sin c = Sin 37° = 0.6018

Area of triangle =
`(1)/(2) * 433 * 520 * 0.6018`

Area of triangle =
`67750.644`

Hence the area of the park is
`67750.644 ft^2`