Question

consider △pqr. what is the value of sin p? a) 13/5 b) 12/13 c) 5/13 d) 5/12

Explanation:

Step1: Recall sine - ratio definition

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. For angle $P$ in right - triangle $PQR$, the side opposite to angle $P$ is $QR$ and the hypotenuse is $PR$.

Step2: Identify side lengths

We are given that $QR = 5$ cm and $PR=13$ cm.

Step3: Calculate $\sin P$

Using the sine - ratio formula $\sin P=\frac{QR}{PR}$, substituting the values we get $\sin P=\frac{5}{13}$.

Answer:

C. $\frac{5}{13}$