How to find sine

[bleak sinew]

I need help finding the sine of angle Y on this triangle

[inland hill]

The sine of an angle in a right triangle is equal to the opposite side divided by the hypotenuse

Do you know which one is the opposite side of the angle Y?

[bleak sinew]

I'm not sure if it's Z or X

[inland hill]

X Y and Z are vertex (and angles), not sides

I'm asking for the side, which one is the opposite side, the 24, the 10 or the 26

[bleak sinew]

Oh okay

Is it 24?

[inland hill]

Yes

And the hypothenuse?

[bleak sinew]

X?

[inland hill]

The hypothenuse is a side

The longest one, the one that has the right angle as its opposed angle

[bleak sinew]

I understand, so X is opposite to 26

[inland hill]

Yes

So which one is the hypothenuse

[bleak sinew]

26 right?

[inland hill]

Which side is the hypothenuse

Yes!

Ok, so if the sine of Y is the opposite side divided by the hypothenuse, and we know both things, we can just compute it

$\sin{y} = \frac{\text{Opposite side}}{\text{Hypothenuse}} = \frac{24}{26} = \frac{12}{13}$

[ancient orchid]

Miguel

[bleak sinew]

Ohh okay, that makes sense, thank you!

Do you think you could help me out on one more?

Actually nvm, I figured it out

[inland hill]

why don't you use sin y= (24/26)?

if you need sin cos and tangent

[runic vector]

sin y = 24/26