a 45N lithograph is supported by two wires. One wire makes a 25 angle with the vertical and the other makes a 15 angle with the vertical. find the tension in each wire

1 answer

The horizontal compnents of the tension forces cancel.
T1*sin25 -T2*sin15 = 0

The vertical components of the tension force add up to the weight.
T1*cos25 + T2cos15 = 45

Solve those two simultaneous equations.

T2 = 1.6329*T1

Substitute that in the second equation and solve for T1.