14 boys and 21 girls will be equally divided into groups what is the greatest number

Please red the answer below

Step-by-step explanation:

In order to determine the length of each cable you use the Newton second law for each component of the forces involved in the situation.

For the x component you have:

          (1)

T1: tension of the first cable = 1500N

T2: tension of the second cable = 800N

θ1: angle between the horizontal and the first cable

θ2: angle between the horizontal and the first cable

For the y component you have:

              (2)

W: weight of the camera = Mg = (140kg)(9.8m/s^2) = 1372N

You can squared both equations (1) and (2) and the sum the two equations:

Then, you sum the equations:

       (3)

Next, you use the following identity:

and you obtain in the equation (3):

With this values you can calculate the value of the another angle, by using the equation (1):

Now, you can calculate the length of each cable by using the information about the width of the football field. You use the following trigonometric relation:

d: distance to the right side of the field

By using the cosine law you can fins a system of equation and then you can calculate the values of l1 and l2.