Use the image to answer the question. Which ratio would be used to find x? (1 point) Responses sin(20°)=x54 sin 20 ° = x 54 cos(20°)=x54 cos 20 ° = x 54 cos(20°)=54x cos 20 ° = 54 x sin(20°)=54x sin 20 ° = 54 x

Answer 1

To determine the appropriate ratio for finding \( x \), we need to analyze the relationships within a right triangle.

If the sides related to \( x \) and the angles are known (for example, assuming \( x \) is opposite the angle of \( 20^\circ \) and \( 54 \) is the hypotenuse), the sine function is used. The sine of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

Given this context, the correct ratio to use would be:

\[ \sin(20^\circ) = \frac{x}{54} \]

This means the answer is: sin(20°) = x/54.