5. (1 point) The point P(3,-5) is on the terminal arm of angle D Which is the exact sin ratio for this angle? a. (sqrt (34))/(-5) b. (3)/(sqrt (34)) c. (5)/(sqrt (34)) d. (-5)/(sqrt (34))

## Step 1: Calculate the hypotenuse<br />### The point $P(3, -5)$ forms a right triangle with the x-axis. The legs of the triangle have lengths 3 and 5. We use the Pythagorean theorem ($a^2 + b^2 = c^2$) to find the hypotenuse: $3^2 + (-5)^2 = c^2$, so $9 + 25 = c^2$, thus $c^2 = 34$, and $c = \sqrt{34}$.<br /><br />## Step 2: Calculate the sine ratio<br />### The sine ratio is defined as $\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$. In this case, the opposite side is -5 (the y-coordinate) and the hypotenuse is $\sqrt{34}$. Therefore, $\sin(D) = \frac{-5}{\sqrt{34}}$.