The side of the rhombus awsd is 24 cm, and the angle A is 30 degrees. find the distance from vertex B to the opposite side AD.

The distance from point B to side AD will be the perpendicular drawn from B to AD.
Then, the formed triangle AВН is rectangular, in which the angle AНB = 900, the angle ВAН, according to the condition, is 300.
The BH leg lies opposite the angle of 300 of a right-angled triangle, therefore it is equal to half the length of the hypotenuse. ВН = AB / 2 = 24/2 = 12 cm.
Answer: The distance from vertex B to side AD is 12 cm.



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