Question

ДАЮ 30 БАЛЛОВ ПОМОГИТЕ СРОЧНО ПРОШУ Из точки А к плоскости α проведены перпендикуляр АК и наклонная АР, угол между ними равен 600 . Найдите расстояние от точки А до плоскости α, если длина проекции наклонной равна 8 корней из 3.​

Answer 1

Пошаговое объяснение:

Сейчас:

АВ=20см

АС=15см

ВД=16см

Помоему так

Answer 2

Finding the Distance from Point A to Plane α

To find the distance from point A to plane α, we need to use the given information about the angle and the length of the inclined line.

Let's break down the problem step by step:

1. We are given that a perpendicular line AK is drawn from point A to plane α, and an inclined line AR forms an angle of 60 degrees with AK. 2. The length of the projection of the inclined line AR onto the plane α is given as 8√3.

To find the distance from point A to plane α, we can use trigonometry and the given information.

Let's denote the distance from point A to the plane α as 'd'.

Using trigonometry, we can relate the length of the projection of the inclined line AR to the distance 'd' and the angle between AK and AR.

We can use the following trigonometric relationship:

Length of projection = d * cos(angle)

In this case, the length of the projection is given as 8√3, and the angle between AK and AR is 60 degrees.

Substituting these values into the equation, we get:

8√3 = d * cos(60)

To solve for 'd', we can rearrange the equation:

d = (8√3) / cos(60)

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

Using a calculator or a math library, we can find the value of cos(60) as 0.5.

Substituting this value into the equation, we get:

d = (8√3) / 0.5

Simplifying further, we have:

d = 16√3

Therefore, the distance from point A to plane α is 16√3.

Please note that the source provided does not directly answer the question. However, the solution is derived using trigonometry and the given information.