Find a when c=38 this is geometry

Since we have a right angle triangle, we can use a trigonometric ratio to help us solve for an unknown side.

Given that c = 38, we need to solve for a.
Since c is the hypotenuse, we can choose to use the sine or cosine ratio.

Let's use the sine ratio; that means our angle of interest is 60°

So,
Now, sin(60) is an exact value, and you should try to remember that sin(60) can also be rewritten as

So, to find a,