Consider the 37 N weight held by two cables

shown below. The left-hand cable is horizontal.

a) What is the tension in the cable slanted
at an angle of 46◦?
Answer in units of N.

b) What is the tension in the horizontal cable?
Answer in units of N.

1 answer

It matters where the 46 deg angle is.
Start with your basic laws:
TensionLeft*cosangleLeftToHorizontal=TensionRight*cosAngleRightToHoriz.
and
TensionL*sinAngleLeft+TensionR*sinAngleRight=weight
in all cases angles are measured to the horizontal.
solve for TensionL and TensionR