Answer:

it is stated "You do not have to solve for the missing value". But to write the "primary Trigonometric Ratio"

1.  tan 28° = x / 14

2.  sin 20° = 500 / x

   or  cos 70° = 500 /x

Step-by-step explanation:

1. tan θ = opposite / adjacent

  tan 28° = x / 14

    (if we are to solve for x):

     x = (14)(tan 28) = 7.44

2. sin θ = opposite / hypotenuse

   cos θ = adjacent / hypotenuse

   ( solving for the angles of the triangle)

   a. complementary angles:  angle at the plane side + 20 = 90°

                                so: angle at the plane side = 90-20=70°

   b. so the angle opposite of 500 is 20:

                             - Alternate interior angles (20°)

                            - angle opposite of 500 = 180-90-70= 20°

so:  

sin 20° = 500 / x

   or

cos 70° = 500 / x

(if we are to solve for x):

 x = 500 / sin 20° = 1461.9

 or

 x = 500 / cos 70° =  1461.9