Final answer:
To calculate the lengths of the missing sides in a triangle, you can use trigonometry. Given the length of one side (12) and the measure of one angle (30°), you can find the length of the side opposite the given angle by multiplying the length of the known side by the sine of the given angle. Therefore, the length of the missing side is 6.
option d is the correct
Step-by-step explanation:
To calculate the lengths of the missing sides, we can use trigonometry. Since we have the length of one side (12) and the measure of one angle (30°), we can use the trigonometric ratio for sine. The length of the side opposite the given angle can be found by multiplying the length of the known side by the sine of the given angle.
Given: n = 12, m = 30°
Sine of 30° = opposite/hypotenuse
opposite = 12 * sin(30°)
opposite = 12 * 0.5
opposite = 6
So, the length of the missing side (n) is 6.