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

Using cosine rule it follows:

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

Simplify the equation for x

`x=√(3.00^2+2.25^2-3(2.25)\cos110)`

Therefore the required answer is

`x=√(3.00^2+2.25^2-3(2.25)\cos(110))`