Question

гіпотенуза прямокутного трикутника дорівнює16 см один з кутів 30° знайдіть катет що лежить навпроти даного кута​

Answer 1

Ответ:

За властивістю кута навпроти маємо:

16:2=8 см

Answer 2

Finding the Length of the Opposite Leg in a Right Triangle

To find the length of the leg opposite a given angle in a right triangle, we can use trigonometric ratios. In this case, we are given that the hypotenuse of the right triangle is 16 cm and one of the angles is 30°. We need to find the length of the leg opposite this angle.

Let's denote the length of the leg opposite the 30° angle as x.

Using the trigonometric ratio for the sine function, we can set up the following equation:

sin(30°) = x / 16

To solve for x, we can rearrange the equation as follows:

x = 16 * sin(30°)

Now, let's calculate the value of x using this equation.

Using a calculator, we find that sin(30°) = 0.5.

Substituting this value into the equation, we get:

x = 16 * 0.5 = 8 cm

Therefore, the length of the leg opposite the 30° angle in the right triangle is 8 cm.

Please note that the search results provided by You.com did not contain any relevant information for this specific question. However, the solution provided above is based on the principles of trigonometry and is a commonly used method for finding the length of a leg in a right triangle.