Question

Образующая конуса l наклонена к плоскости основания под углом 30 градусов . Найдите высоту

Answer 1

Опустим высоту конуса..получится прямоугольный треугольник с гипотенузой I

так как угол между образующей и основанием 30 гр. то по правилу катет лежащий напротив угла в 30 градусов равен половине гипотенузы.

этот катет и есть высота , т.е  = I/2

Answer 2

Finding the Height of a Cone with an Inclined Axis

To find the height of a cone with an inclined axis, we can use trigonometry. Given that the axis of the cone is inclined at an angle of 30 degrees to the base plane, we can determine the height of the cone.

Let's denote the height of the cone as h and the slant height as l.

To find the height, we can use the formula:

h = l * sin(θ)

where θ is the angle between the axis of the cone and the base plane.

In this case, θ is given as 30 degrees.

Therefore, the formula becomes:

h = l * sin(30°)

Now, let's calculate the height using this formula.

Using the trigonometric identity, sin(30°) = 1/2, we can simplify the formula:

h = l * (1/2)

So, the height of the cone is half the slant height.

Please note that we do not have the specific value of the slant height (l) in the given question. If you provide the value of the slant height, we can calculate the height of the cone accordingly.

Let me know if there's anything else I can help you with!