Final answer:
The question does not contain enough information to answer definitively. It requires knowledge of the position of the angle in relation to the side RS in the right triangle to determine if sine or cosine should be used.
Step-by-step explanation:
To determine the correct length of side RS in right triangle QRS, we need to identify which trigonometric ratio to use based on the given angle and the sides in question. If the angle given is adjacent to the unknown side RS, we would use the cosine ratio. For an angle opposite the unknown side, we would use the sine ratio.
Unfortunately, the question does not provide sufficient information to choose between sine and cosine as we do not know if the angle provided is adjacent or opposite to RS nor the orientation of the triangle. However, based on the formulae provided in the reference material:
- The law of sines is represented as a/sin A = b/sin B = c/sin C.
- The law of cosines is illustrated by c² = a² + b² - 2ab cos γ.
These may offer alternative methods for finding the unknown side based on additional information that has not been provided in the question.