Based on example $12$ on page $103.$

Refer to the image in the book. An automobile engine has a weight of $\backslash (3,386\backslash$mathrm$\{$~N$\}\backslash ),$ and is being positioned above the engine compartment as shown in the figure on page $103.$ To position the engine, the worker is using a rope on which he pulls with a tension directed at an angle $\backslash (77^\{\backslash$circ$\}\backslash )$ relative to the vertical. The rope pulls the engine slightly to the front, causing the main cable from which it is hanging to make a $\backslash (9^\{\backslash$circ$\}\backslash )$ angle relative to the vertical. Find the magnitude of the tension in the rope.