SOLUTION: A triangular flower bed has two sides of length 3m and the angle between them is 30degrees. Find: 1. the area of the bed (2.25cm - this is fine, I need help on next part) find th

Algebra ->  Trigonometry-basics -> SOLUTION: A triangular flower bed has two sides of length 3m and the angle between them is 30degrees. Find: 1. the area of the bed (2.25cm - this is fine, I need help on next part) find th      Log On


   

Question 844936: A triangular flower bed has two sides of length 3m and the angle between them is 30degrees. Find:
1. the area of the bed (2.25cm - this is fine, I need help on next part)
find the amount of top soil in m3 which would be needed to cover the bed evenly to a depth of 15cm.
many thanks

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Knowing the length of two sides and the measure of the angle between them,
a) area=side%5B1%5D%2Aside%5B2%5D%2Asin%28angle%29%2F2
If side%5B1%5D=side%5B2%5D=3m and angle=30%5Eo ,
area=%283m%29%5E2%2Asin%2830%5Eo%29%2F2=%289m%5E2%29%2A0.5%2F2=highlight%282.25m%5E2%29
b) The volume of top soil needed is the volume of a triangular prism with
base_area=2.25m%5E2 and height=15cm=0.15m
Volume=%28base_area%29%2Aheight
Volume=%282.25m%5E2%29%2A%280.15m%29=highlight%280.3375m%5E3%29