In lifting a heavy piece of equipment from the mud, a cable from a crane exerts a vertical force of 6000N, and a cable from a truck exerts a force of 7800N at 1

Question

In lifting a heavy piece of equipment from the mud, a cable from a crane
exerts a vertical force of 6000N, and a cable from a truck exerts a force
of 7800N at 12o
above the horizontal. What is the resultant of these
forces?

Answer 1

First vector in component form is <0, 6000>

 

Second vector is <7800cos 12, 7800sin 12> = <7629.55, 1621.71>

 

Summing corresponding components gives resultant vector <7629.55, 7621.71>, in component form.

 

You can take it from here, I hope, to determine the resultant force, in Newtons, using Pythagorean Theorem, and by making a sketch of the two (horiz. & vert. components) you can determine the angle of the resultant force.