please explain why for part 1 and 2: (the blue ink you see has nothing to do wit

Question

please explain why for part 1 and 2: (the blue ink you see has nothing to do with problem so ignore it please and thanks)

Consider the 613 N weight held by two cables shown below. The left-hand cable had tension 540 N and makes an angle of theta with the wall. The right-hand cable had tension 630 N and makes an angle of theta1 with the ceiling. What is the angle theta1 which the righthand cable makes with respect to the ceiling? What is the angle theta which the left-hand cable makes with respect to the wall?

Explanation / Answer

Since it is in equilibrium, we can resolve the components and equate.

630 cos(theta 1) = 540 cos(90-theta)

613 = 630cos(90-theta 1) + 540cos(theta)

by solving these two equations,

theta = 65.87 degrees

theta1 = 38.59 degrees

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