令π/12t = a (a≠0),则t=π/12a
80-30sin a =60- cos a
30sin a - 20 =cos a
两边平方,得 900sin ²a -1200sin a + 400 =cos ²a =1- sin ²a
即901sin ²a - 1200sin a + 399 =0; ∴(sin a - 600/901)²=(600/901)²-399/901=501/901²
∴sin a=(600±√501)/901
即a=arc sin(600±√501)/901
∴t=π / [12*arc sin(600±√501)/901]