Question

Use the law of cosines to solve the following problem.The robot arm shown in the figure places packages on a conveyer belt. What is the distance x?

Answer 1

SOLUTION

Using cosine rule it follows:

$x^2=3.00^2+2.25^2-3(2.25)\cos110$

Simplify the equation for x

$x=\sqrt{3.00^2+2.25^2-3(2.25)\cos110}$

Therefore the required answer is

$x=\sqrt{3.00^2+2.25^2-3(2.25)\cos(110)}$