Answer:
- blue: 0.763
- orange: 0.767
- green: 0.770
Explanation:
You want to fill in a table of opposite side and hypotenuse from values given in the figure, then compute the ratio opposite/hypotenuse.
Table
The table values for "opposite" and "hypotenuse" are copied from the figure, so those are correct as shown in the problem statement.
The ratios can be expressed to 3 significant figures, since the dimensions are given to that precision. A calculator nicely provides those values.
The opposite/hypotenuse ratios are ...
- blue: 0.763
- orange: 0.767
- green: 0.770
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Additional comment
If this were a well-designed problem, the ratios would be identical to sin(50°) ≈ 0.766.