Step-by-step explanation:
<u>Step 1: List out all of the formulas for the trigonometric functions
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<em>sin(x) </em>= opposite/hypotenuse
<em>cos(x)</em> = adjacent/hypotenuse
<em>tan(x) </em>= opposite/adjacent
<u>Step 2: Find the value of RS
</u>
cos(31) = RS/24.8 NOT 24.8/RS
sin(31) = QS/24.8 NOT RS/24.8
sin(31) = QS/24.8 NOT 24.8/RS
cos(31) = RS/24.8 WHICH IS SAME AS RS/24.8
Answer: The correct length would be given from Option D, cos(31) = RS/24.8
