Question

Two sides of a parallelogram are 730 feet and 970 feet. The measure of the angle between these sides is 151°. Find the area of the parallelogram to the nearest square foot.

Answer 1

343294 feets

Explanation:

We Obtian the height:

Using trigonometry :

Sin151 = h / 730

0.4848096 = h / 730

h = 353.91102

Area of parallelogram = base * height

Base = 970 feets ; height = 353.91102 feets

Area = 970 * 353.91102

= 343293.6894 feets

= 343294 feets