2). Triangle OSR is a right triangle with angle O = 30 degrees and side SR = 4 m. Find the length of side OS.

Solution:

1. We have a right triangle OSR, with angle R = 90 degrees, angle O = 30 degrees, and the side opposite to angle O, SR = 4 m.
2. We need to find the length of the hypotenuse OS.
3. We can use the sine function, which is defined as the ratio of the opposite side to the hypotenuse in a right triangle: sin(O) = SR / OS.
4. Rearranging the formula to solve for OS, we get: OS = SR / sin(O).
5. Substituting the given values: OS = 4 m / sin(30 degrees).
6. The sine of 30 degrees is 0.5.
7. Therefore, OS = 4 m / 0.5 = 8 m.

Ответ: 8 м