Question

Сторона ромба авсд равна 24 см, а угол А равен 30 градусов. найдите расстояние от вершины В до противолежащей ей стороны АД

Answer 1

Расстояние от точки В до прямой АD это высота.
Треугольник АВМ прямоугольный так как угол М = 90 градусов.
По условию угол А=30 , значит гипотенуза будет равна 2* ВМ.
ВМ = АВ/2=12.
Ответ:12. 

Answer 2

Calculation of the Distance from Vertex B to Side AD in a Rhombus

To find the distance from vertex B to the opposite side AD in a rhombus, we can use the given information: the length of side AVSD is 24 cm, and angle A is 30 degrees.

Let's denote the distance from vertex B to side AD as x.

To solve for x, we can use trigonometry. In a rhombus, opposite angles are equal, so angle DAB is also 30 degrees. We can use the sine function to relate the angle and the side lengths:

sin(A) = opposite/hypotenuse

In this case, the opposite side is x and the hypotenuse is 24 cm. Plugging in the values, we have:

sin(30) = x/24

Simplifying, we have:

x = 24 * sin(30)

Using a calculator, we can find the value of sin(30) to be 0.5. Substituting this value, we get:

x = 24 * 0.5 = 12 cm

Therefore, the distance from vertex B to the opposite side AD is 12 cm.