Question

кут миж висотою СМ и катетом СА прямокутного трикутника АВС(<С=90градуса) доривнюе 24градеса знайдить гострый кут трыкутныка АВС

Answer 1

Ответ:

180-90-24=66⁰

Ответ 66⁰

Answer 2

Finding the acute angle of a right triangle

To find the acute angle of a right triangle, we need to know the lengths of the hypotenuse (H) and one of the legs (A or B). In this case, we are given the height (H) and the length of one of the legs (A) of the right triangle ABC, where angle C is 90 degrees.

Let's assume that the height of the triangle (H) is equal to the hypotenuse (C) and the length of one of the legs (A) is equal to 24 degrees.

To find the acute angle of the triangle ABC, we can use the trigonometric function sine (sin). The sine of an angle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In this case, we can use the sine function to find the acute angle of the triangle ABC as follows:

sin(angle) = opposite / hypotenuse

sin(angle) = A / H

sin(angle) = 24 / H

To find the value of the acute angle, we need to calculate the inverse sine (arcsin) of the ratio 24 / H. This will give us the value of the acute angle in radians. To convert it to degrees, we can multiply it by 180 and divide by pi.

Let's calculate the value of the acute angle using the given information.

Calculation:

Given: - Length of one of the legs (A) = 24 degrees - Height of the triangle (H) = hypotenuse (C)

Using the formula:

sin(angle) = 24 / H

We can rearrange the equation to solve for H:

H = 24 / sin(angle)

Now, we can substitute the given value of A and solve for H:

H = 24 / sin(24 / H)

Unfortunately, the given information does not provide the value of the hypotenuse (H) or the acute angle. Without the value of H, we cannot calculate the acute angle of the triangle ABC.

If you have any additional information or if there is anything else I can help you with, please let me know!