Question

В прямоугольнике угол между диоганалями равер 136 градусов.Найти угол между диагональю и меньшей стороной прямоугольника

Answer 1

Фото....................................

Answer 2

Finding the Angle Between the Diagonal and the Smaller Side of a Rectangle

To find the angle between the diagonal and the smaller side of a rectangle, we can use the fact that the diagonals of a rectangle bisect each other and create right-angled triangles. Given that the angle between the diagonals is 136 degrees, we can calculate the angle between the diagonal and the smaller side of the rectangle using trigonometric functions.

First, let's find the angle between the diagonal and the smaller side of the rectangle.

The angle between the diagonal and the smaller side of the rectangle can be calculated using the following steps:

1. Calculate the Angle Between the Diagonal and the Smaller Side: - Given that the angle between the diagonals is 136 degrees, we can use this information to find the angle between the diagonal and the smaller side of the rectangle.

2. Using Trigonometric Functions: - We can use trigonometric functions to find the angle between the diagonal and the smaller side of the rectangle.

- Let's denote the angle between the diagonal and the smaller side as θ.

- Using the properties of right-angled triangles and trigonometric functions, we can use the given angle between the diagonals to find the angle between the diagonal and the smaller side.

- The angle between the diagonal and the smaller side can be calculated using the arctan function.

3. Calculation: - We can use the arctan function to calculate the angle between the diagonal and the smaller side of the rectangle.

- The formula for the arctan function is: θ = arctan(opposite/adjacent).

- In this case, the opposite side is half the length of the diagonal, and the adjacent side is the length of the smaller side of the rectangle.

- By substituting the values into the formula, we can calculate the angle between the diagonal and the smaller side of the rectangle.

4. Final Calculation: - After substituting the values into the formula, we can find the angle between the diagonal and the smaller side of the rectangle.

- This will give us the angle between the diagonal and the smaller side of the rectangle based on the given information.

Let's proceed with the calculation to find the angle between the diagonal and the smaller side of the rectangle.