Question

NO LINKS!!! Please help me with this problem. Part 14​

Answer 1

Step-by-step explanation:

The Law of Cosines can be used to write a quadratic in x. The desired form corresponds to its solution using the quadratic formula.

`L^2=r^2 +x^2 -2rx\cdotcos(\theta)\\\\x^2-2rx\cdotcos(\theta)+(r^2-L^2)=0`

Using the quadratic formula gives the positive value of x as ...

`x=(-(-2r\cdotcos(\theta))+√((-2r\cdotcos(\theta))^2-4(1)(r^2-L^2)))/(2(1))\\\\\boxed{x=rcos(\theta)+√(r^2\cos^2\theta+L^2-r^2)}`