Answer: The correct option is
(c) [tex]\dfrac{RQ}{PQ}.[/tex]
Step-by-step explanation: We are given a right-angled triangle PQR, with m∠R = 90°, m∠Q = 60° and m∠P = 30°.
We are to select the ratio that represents sin P.
We know that sine of any acute angles is the ratio of the length of the perpendicular to the length of the hypotenuse.
For the acute angle P, we have
perpendicular = RQ and hypotenuse = PQ.
Therefore, we get
[tex]\sin P=\dfrac{perpendicualr}{hypotenuse}\\\\\\\Rightarrow \sin P=\dfrac{RQ}{PQ}.[/tex]
Thus, (c) is the correct option.
