Answer:
To find the missing side of a right triangle given an angle and a side, you can use trigonometric functions. In this case, we have the angle opposite the missing side, so we can use the sine function.
The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, we can set up the following equation:
sin(34°) = opposite / 12
To solve for the opposite side, we can multiply both sides by 12:
opposite = 12 * sin(34°) ≈ 6.60
Therefore, the missing side of the triangle is approximately 6.60 units long.
Explanation: