Ok, so:
Here we have a problem in which we have to use trigonometric functions.
Let me draw the triangle here:
So, we are going to use sin(Θ) to find x, because this function relations the opposite side of the angle with the hypotenuse.
So, sin(45) = (x) / 20
To find x, multiply 20/sin(45).
And this is 20*(√2/2). (Remember that sin(45) is a number and it is √2/2).
20*(√2/2) is equal to 10/√2. So x = 10/√2
Now, let's find y.
So, we are going to use cos(Θ) to find y, because this function relations the adjacent side of the angle with the hypotenuse, like this:
cos(45) = (y) / 20.
Doing the same process as before, we obtain y = 10√2
Let me draw the next triangle.
Ok, so:
Now we're going to use the same functions before.
To find x, we use sinΘ.
Then, sin(60) = x / 22.
x = 22 sin (60), and this is equal to: x= 22 * (√3/2).
Simplifying, we got x = 11√3
To find y, we use cosΘ.
Then, cos(60) = y / 22, and this is equal to: y = 22 cos (60).
y = 22 cos 60
y = 22 (1/2)
y = 11