To find the missing side \( x \) of a triangle given one angle and one side, we can use the sine function if we identify the triangle correctly. The triangle you described appears to have:
- Angle \( A = 28^\circ \)
- The slanted side (which we'll denote as \( b \)) is \( 20 \)
- The side opposite to angle \( A \) (which is the side we're trying to find, denoted as \( x \))
We can use the sine function, which states:
\[ \sin(A) = \frac{\text{opposite}}{\text{hypotenuse}} \]
In this case, it can be rearranged to find \( x \):
\[ x = b \cdot \sin(A) \]
Now substituting our known values:
\[ x = 20 \cdot \sin(28^\circ) \]
Using a calculator to find \( \sin(28^\circ) \):
\[ \sin(28^\circ) \approx 0.4695 \]
Now, calculate \( x \):
\[ x = 20 \cdot 0.4695 \approx 9.39 \]
Rounding to the nearest tenth gives:
\[ x \approx 9.4 \]
Thus, the missing side \( x \) is approximately \( 9.4 \).
Therefore, the correct answer is:
9.4