Question

Двогранний кут дорівнює 60 градусів. На одній із граней дано точку, яка знаходиться на відстані 6 см від ребра двогранного кута. На якій відстані ця точка знаходиться від другої грані двогранного кута?

Answer 1

Ответ:

12см

Объяснение:

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

Answer 2

Calculation of the Distance from the Point to the Second Face of the Dihedral Angle

To find the distance from the given point to the second face of the dihedral angle, we can use trigonometry. Since we know the angle of the dihedral angle is 60 degrees and the distance from the point to the edge of the dihedral angle is 6 cm, we can use the sine function to calculate the distance from the point to the second face.

Let's denote the distance from the point to the second face as x.

Using the sine function, we have:

sin(60 degrees) = x / 6 cm

To solve for x, we can rearrange the equation:

x = 6 cm * sin(60 degrees)

Now, let's calculate the value of x:

x = 6 cm * sin(60 degrees) = 6 cm * 0.866 = 5.196 cm

Therefore, the distance from the given point to the second face of the dihedral angle is approximately 5.196 cm.