Jeanette wants to build a fence around her yard so that her dog can safely play. the width of the yard is one-fourth the length. the perimeter of the yard is 60 feet. what is the length and width of her yard?

Option a.

-1.144 , 1.144

Step-by-step explanation:

Since we are dealing with trascendental equations, it is best if we solve the problem graphically with the help of a calculator or any plotting tool.

Please, see attached image

We graph both equations and find the intersection between them in the interval from -pi to pi

This will give the solution to the equation

tan(x) = 2* csc(x)

The answer is

x = -1.144

x =  1.144