2000 squareroot 800Cos theta2 1400 800 Sin theta2Solution

2000 = squareroot (800Cos (theta))^2 + (1400 + 800 Sin (theta))^2))

Solution

[(800cos)²+(1400+800sin)²] =2000

=>[(800cos)²+1400²+(2*1400*800sin)+(800sin)²] =2000²

=>[800²((cos)²+(sin)²) +1400²+(2*1400*800sin)] =2000²

=>[800²*(1) +1400²+(2*1400*800sin)] =2000²

=>800² +1400²+(2*1400*800sin) =2000²

=>(2*1400*800sin) =2000²-800² -1400²

=>sin =[2000²-800² -1400²]_{/[2*1400*800]}

=>sin =0.625

=> =38.68^o