Home
/
Math
/
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.

Question

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))

Solution

Expert Verified
4.2 (175 Votes)
Judith Elite ยท Tutor for 8 years

Answer

### d.

Explanation

## Step 1: Calculate the hypotenuse### The point forms a right triangle with the x-axis. The legs of the triangle have lengths 3 and 5. We use the Pythagorean theorem ( ) to find the hypotenuse: , so , thus , and .## Step 2: Calculate the sine ratio### The sine ratio is defined as . In this case, the opposite side is -5 (the y-coordinate) and the hypotenuse is . Therefore, .