Step 1 :We know that in right triangle trigonometry, the sine of an angle is defined as the length of the side opposite to the angle divided by the length of the hypotenuse.
Step 2 :Therefore, we have \(\sin(30^\circ) = \frac{opposite}{hypotenuse}\)
Step 3 :Substituting the given values, we get \(\sin(30^\circ) = \frac{opposite}{10}\)
Step 4 :Since \(\sin(30^\circ) = 0.5\), we can solve for the unknown: \(0.5 = \frac{opposite}{10}\)
Step 5 :Rearranging the equation, we get \(opposite = 0.5 * 10\)