Question

In the triangle below, what ratio is sin θ?

Answer 1

Bringing to mind SOHCAHTOA, we remember that the sine is the opposite divided by the hypotenuse.
Thus, our answer is
`$(36)/(39)=\boxed{(12)/(13)}$`.

Answer 2

Answer: The required ratio is
`(12)/(13).`

Step-by-step explanation: In the given triangle, we are to find the ratio of sinθ.

We know that

in a right-angled triangle, the ratio sine of an angle is given by the length of the perpendicular divided by the length of the hypotenuse.

For the given right-angled triangle, we get

`\sin\theta=(perpendicular)/(hypotenuse)\\\\\\\Rightarrow \sin\theta=(36)/(39)\\\\\\\Rightarrow \sin\theta=(12)/(13).`

Thus, the required ratio is
`(12)/(13).`