Question

Find the value of x. Round to the nearest tenth. (1 point) Responses 9 9 26.7 26.7 63.3 63.3 24.2 (One side is 20, the other is 9. We are trying to find x, which is an angle)

Answer 1

To determine the value of \( x \) (which is an angle) based on the information provided (one side = 20 and the other side = 9), it sounds like you might be referring to a triangle and possibly trying to use the Law of Cosines or the Law of Sines. However, without a specific shape or additional information, such as the nature of the triangle (right triangle, obtuse, etc.) or another angle, it's difficult to solve directly.

If we assume it's a right triangle, and you know the lengths of two sides, you could find the angle opposite to the side of length 9 using the sine function.

1. If we denote the angle opposite the side of length 9 as \( x \):
\[
\sin(x) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{9}{20}
\]

2. To find \( x \):
\[
x = \sin^{-1}\left(\frac{9}{20}\right)
\]

3. Calculating this gives:
\[
x \approx \sin^{-1}(0.45) \approx 26.7^\circ
\]

Therefore, rounding to the nearest tenth, the value of \( x \) is approximately \( 26.7 \).

Please confirm whether this fits your scenario or if you have a different setup in mind!