The sine of angle V is 3/5
Here, we want to find the value of sin v
Since the three triangles are similar, then their sides and angles are similar too
Let us compare the sides of the triangle
Triangle RST looks like it was rotated anticlockwise to give triangle UVW
Following the labelings, we can see that the angle V corresponds to the angle s
Thus, mathematically, by finding the sine of angle S, we have the sine of angle V
The sine of an angle is the ratio of the length of the opposite to the hypotenuse
The opposite side is the side that faces the angle we want to calculate. That is the length 3
The hypotenuse is the side that faces the right-angle and also is the longest side
Hence, we have the sine of angle S as;
[tex]\sin \text{ S = }\frac{3}{5}[/tex]
This is same as the sine of V which is same as 3/5
