Which is the ratio for sin a, written as a fraction in simplest form?

When you have a right triangle (A triangle which has a angle of 90°), you can find the "Sine". This is one of the basi trigonometric ratios. By definition, the Sine is:

 Sin(α)=Opposite leg/Hypotenuse
 
 You want to find Sin(A), so the opposite leg will be 8√3 and the hypotenuse will be 16. 

 When you substitue these values, you have:

 Sin(α)=Opposite leg/Hypotenuse
 Sin(A)=8√3/16

 When you simplify, you obtain:

 Sin(A)=4√3/8
 Sin(A)=2√3/4
 Sin(A)=√3/2

 Which is the ratio for Sin(A)? 

 The answer is: The ratio for Sin(A) is √3/2
 

 

The total would be 40.53