Question

Which ratio would be used to find x?

A. sin (20°) = x/54
B. cos (20°) = x/54
C. cos (20°) = 54/x
D. sin (20°) = 54/x

Answer 1

The ratio that would be used to find x is C. cos (20°) = 54/x.

Explanation:

Answer 2

C

Explanation:

*REMEMBER*:

Sin: opposite/hypotenuse

Cos: adjacent/hypotenuse

Tan: opposite/adjacent

Using this, we have to find x, which is the hypotenuse of this right triangle. This immediately eliminates using a tangent equation.

We also don't know the opposite side of 20 degrees, so this also eliminates the sine.

Now, we know that the equation has to be either B or C, as those have cosines. The cosine of 20 degrees is equal to adjacent/hypotenuse, which would give us the equation:

cos(20)=54/x, meaning C is the correct option.

Hope this helps! :)