Physics
posted by Hannah .
Consider the 676 N weight held by two cables
shown below. The lefthand cable had tension
740 N and makes an angle of θ with the wall.
The righthand cable had tension 730 N and
makes an angle of θ1 with the ceiling.
a) What is the angle θ1 which the righthand cable makes with

The horizontal components of the two cable tension forces are equal and opposite.
The two vertical components of the cable tension forces add up to 676 N.
Those two statements can be used to write two equations that will let you solve for both unknown angles.
Be careful to note that theta1 and theta 2 angles are being measured from different planes. (ceiling and wall)
Each equation will therefore have both a sine and cosine term/