SOLUTION: Avra is building a triangular dog run in her back yard. She makes a model of the dog run by drawing △ABC, where AB=20 feet, AC=40 feet, and m∠A=46.6°. https://cds.fl

Algebra ->  Triangles -> SOLUTION: Avra is building a triangular dog run in her back yard. She makes a model of the dog run by drawing △ABC, where AB=20 feet, AC=40 feet, and m∠A=46.6°. https://cds.fl      Log On


   

Question 1063099: Avra is building a triangular dog run in her back yard. She makes a model of the dog run by drawing △ABC, where AB=20 feet, AC=40 feet, and m∠A=46.6°.
https://cds.flipswitch.com/tools/asset/media/576480
Inside the dog run, Avra wants to install sod that costs $0.79 per square foot. How much money should she expect to spend on sod when she goes to the hardware store?
Avra should expect to spend $__________.

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Choose either of the known sides as the triangle's base. As example, choose AB as the base. Then the height is AC%2Asin%2846.6%29. This height is 40%2Asin%2846.6%29.

Cost to spend, %281%2F2%2920%2A40%2Asin%2846.6%29%280.79%29%2ADOLLARS.
This cost to spend is 400%2Asin%2846.6%29%2A%280.79%29%2ADOLLARS

229.6%2Adollars