Given:
The figure of a right angle triangle with hypotenuse=19, leg=x and opposite angle is 40°.
To find:
The trigonometric function that is used to solve for x.
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
In can be written as:
[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]
Using this ratio for the given triangle, we get
[tex]\sin 40^\circ =\dfrac{x}{19}[/tex]
Therefore, the correct option is C.
