The indicated angle measure to the neares
Here, we want to find the measure of the indicated angle
Let us call this X
Looking at the triangle, we can see a right angle. This makes the triangle a right triangle
The right angle faces the side that measures 20. The side that faces the right angle is called the hypotenuse and it is the longest side of the triangle
Secondly, we can see that the angle we want to calculate faces the side that measures 9, this side is called the opposite
So, the appropriate trigonometric identity we want to use will be the sine since it is the trigonometric identity that connects the opposite and the hypotenuse
Mathematically, the sine of an angle is the ratio of its opposite to its hypotenuse
Specifically, with respect to this case, we have it that;