: Find the area of a rhombus if its height is 16 and the acute angle is 30 degrees.

The height of the BH forms a right-angled triangle BH, in which, according to the condition, the angle BH is 30. Then the Leg BH lies opposite the angle 30, therefore, its length is equal to half the length of the hypotenuse AB, then AB = 2 * BH = 2 * 16 = 32 cm.

For a rhombus, the lengths of all sides are equal, then AD = AB = 32 cm, and the area of the rhombus will be equal to: Savsd = AD * BH = 32 * 16 = 512 cm2.

Answer: The area of the rhombus is 51 cm2.




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