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Answer:

cos57° = x/51

General Formulas and Concepts:

Trigonometry

  • [Right Triangles Only] sin∅ = opposite over hypotenuse
  • [Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to solve for the missing side length.

Step 2: Set up ratios

We can choose between the 2 angles and have multiple ratios to solve for x.

sin33° = x/51

cos57° = x/51

Hence, we see that the 1st option would be the correct answer.