Question

Помогите решить пожалуйста . 1)Прямокутний трикутник один із кутів дорівнює 30 градусів гіпотенуза дорівнює 10см знайти протилежний куту 30 градусів катет 2)Прямокутний трикутник один із кутів дорівнює 30 градусів гіпотенуза дорівнює 10см знайти протилежний куту 30 градусів катет Знайти другий гострий кут .

Answer 1

Ответ:

на фото

Объяснение:

*пожалуйста отметьте мой ответ как лучший, поставьте сердечко, и подпишитесь, заранее спасибо

Answer 2

#### Finding the Opposite Angle in a Right Triangle To find the opposite angle in a right triangle, we can use trigonometric ratios. In this case, we are given that one of the angles is 30 degrees and the hypotenuse is 10 cm. We need to find the opposite angle and the other acute angle. Let's start by finding the opposite angle to the 30-degree angle. #### Finding the Opposite Angle To find the opposite angle, we can use the sine function. The sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, we are given that the hypotenuse is 10 cm. Let's denote the opposite angle as A and the side opposite the angle as a. The sine of angle A can be calculated as: **sin(A) = a / hypotenuse** We are given that the hypotenuse is 10 cm. Let's denote the side opposite the angle as a. We can rearrange the equation to solve for a: **a = sin(A) * hypotenuse** Substituting the values we know, we get: **a = sin(30 degrees) * 10 cm** Using a calculator, we can find the value of sin(30 degrees) to be 0.5. Substituting this value, we get: **a = 0.5 * 10 cm = 5 cm** Therefore, the length of the side opposite the 30-degree angle is 5 cm. #### Finding the Other Acute Angle To find the other acute angle in the right triangle, we can use the fact that the sum of the angles in a triangle is 180 degrees. Since we know one angle is 90 degrees (the right angle) and another angle is 30 degrees, we can find the third angle by subtracting the sum of the known angles from 180 degrees. Let's denote the other acute angle as B. We can calculate it as: **B = 180 degrees - 90 degrees - 30 degrees** Simplifying the equation, we get: **B = 60 degrees** Therefore, the other acute angle in the right triangle is 60 degrees. To summarize: - The length of the side opposite the 30-degree angle is **5 cm**. - The other acute angle in the right triangle is **60 degrees**. Please let me know if there is anything else I can help you with!