Question

2. В треугольнике МРК угол М=90°, РК=7, угол Р=56°. Найти МР. (4б)

Answer 1

Объяснение:

...........................

Answer 2

Task: Find the length of MR in triangle MRK

To find the length of MR in triangle MRK, we need to use the given information: angle M = 90°, RK = 7, and angle R = 56°.

Let's break down the problem step by step:

1. First, let's draw triangle MRK and label the given information: - Angle M = 90° - RK = 7 - Angle R = 56°

         M
        /|
       / |
      /  |
     /   | RK = 7
    /    |
   /_____R
      K
   

2. Since angle M is a right angle (90°), we know that triangle MRK is a right triangle.

3. To find the length of MR, we can use trigonometric ratios. In this case, we can use the sine ratio, which is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In triangle MRK, the side opposite angle R is MR, and the hypotenuse is RK.

Therefore, we can use the sine ratio to find MR:

sine(R) = MR / RK

4. Substitute the given values into the equation:

sine(56°) = MR / 7

5. Solve for MR:

MR = 7 * sine(56°)

Now, let's calculate the value of MR using the given information.

Using a calculator, we find that the sine of 56° is approximately 0.829.

Substituting this value into the equation, we get:

MR = 7 * 0.829 = 5.803

Therefore, the length of MR in triangle MRK is approximately 5.803 units.

Note: The answer is rounded to three decimal places.

Answer:

The length of MR in triangle MRK is approximately 5.803 units.