SOLUTION: Nick wants to build an herb garden in the backyard but is only using the area beyond the path running through the yard. How large would the garden be if it is triangular-shaped wi

Algebra ->  Triangles -> SOLUTION: Nick wants to build an herb garden in the backyard but is only using the area beyond the path running through the yard. How large would the garden be if it is triangular-shaped wi      Log On


   

Question 1139378: Nick wants to build an herb garden in the backyard but is only using the area beyond the path running through the yard. How large would the garden be if it is triangular-shaped with two sides of length 15 feet, 28 feet, with a 75° angle between them?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

For any triangle, its area is half the product of the lengths of any two its sides by the sine of the angle between them.

So, in your case the area of the triangle is %281%2F2%29%2A15%2A28%2Asin%2875%5Eo%29 = 14^15*sin(75°) = 218*sin(75°).

Use your calculator to get the final answer.