Question

Which trig function would you use to solve for x?

A.) No answer text provided.
B.) tan40= x/19
C.) sin40= x/19
D.) cos40= x/19​

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=(Perpendicular)/(Hypotenuse)`

In can be written as:

`\sin \theta=(Opposite)/(Hypotenuse)`

Using this ratio for the given triangle, we get

`\sin 40^\circ =(x)/(19)`

Therefore, the correct option is C.