Include explanation because im stuck

We need to use law of sin

sin A/a = sin B/b

a is a side opposite to the angle A,

b is a side opposite to the angle B.

We can write

sin 75⁰/22 = sin x/12

sin x = (12*sin 75⁰)/22

x= sin⁻¹((12*sin 75⁰)/22≈ 31.8⁰

x ≈ 31.8⁰

I used the Law of Sines to find this. I set sin75/22 equal to sinx/12. I then multiplied both sides by 12 and got 12sin75/22 is equal to sinx. I then solved 12sin75/22 to get 0.56868 is equal to sinx. I then did sine inverse on both sides to get that the angle of x is about 31.79 degrees.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you