Along a production line, various tools are attached to the ceiling with a multi-jointed arm.

Question

Along a production line, tools are attached to the ceiling with a multi-jointed arm so that workers can draw one down, position it for use, then move it up and out of the way for the next tool. The origin is where the tool is attached to the ceiling. The first segment is 100 inches, the second is 75 inches, and the third is 50 inches. Find the approximate coordinates of the last joint.

Diagram https://imgur.com/a/lZrx1

Answer 1

Total vertical displacement=100sin22+75sin42+50sin58=130.0479 in approx.

Total horizontal displacement=100cos22-75cos42+50cos58=63.4785 in approx.

So if downwards is negative the coords are (63.5,-130.0) approx.

If downwards is positive then just remove the minus sign.