Question 844936
Knowing the length of two sides and the measure of the angle between them,
a) {{{area=side[1]*side[2]*sin(angle)/2}}}
If {{{side[1]=side[2]=3m}}} and {{{angle=30^o}}} ,
{{{area=(3m)^2*sin(30^o)/2=(9m^2)*0.5/2=highlight(2.25m^2)}}}
b) The volume of top soil needed is the volume of a triangular prism with
{{{base_area=2.25m^2}}} and {{{height=15cm=0.15m}}}
{{{Volume=(base_area)*height}}}
{{{Volume=(2.25m^2)*(0.15m)=highlight(0.3375m^3)}}}