Need help with trigonometry equations

P cos 30 + Q cos 45 = 100

P sin 30 = Q sin 45

Find the values of P and Q

Does anyone know how to solve this? I am stuck with this question. Thanks in advance

because sin 45 = cos 45,

P sin 30 = Q cos 45

Sub into first equation

P cos 30 + P sin 30 = 100

P (cos 30 + sin 30) = 100

Solve for P

then solve for Q

i have get the answer. thanks for your help

cool