Question

Which trig function would you use to solve for x?

Answer 1

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,

$\sin \theta=\dfrac{Perpendicular}{Hypotenuse}$

In can be written as:

$\sin \theta=\dfrac{Opposite}{Hypotenuse}$

Using this ratio for the given triangle, we get

$\sin 40^\circ =\dfrac{x}{19}$

Therefore, the correct option is C.