What is the rule that defines the function represented by the table?

The rule that defines the function represented by the table is:

Step-by-step explanation:

To identify the rule that defines the function represented by the table, you must know that , so, you can take formula by formula and replace in it the values given in the table, if the result is equal to replacing the values of , you're gonna know that formula is correct. Let's do that exercise with the formulas in order:

Now, we're gonna replace the variable by the first value in the table: 0

How you can see in the table, exactly below the value 0 to the variable is the value to (40), how the answer with the A option doesn't result in 40, it doesn't the correct rule.

We replace with the value 0 again:

In this case, it neither gives us the value 40, for this reason, we pass to the next option:

We replace with the value 0 one more time:

With this option, the result is equal to the first datum, but, to check this, we can replace the same formula with one or two values more:

How you can see, with the C option, once you replace the value of , the result is exactly the value for , for this reason, the C option is the correct answer.

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°