In the parallelogram ABCD ∠A = 30 °, AB = 24 cm. Find the height BF.

If BF is the height of the parallelogram, then triangle ABF is right-angled with a right angle BFA = 90 °. AB – the hypotenuse of triangle ABF, which is 24 cm;

Find the sine of the angle A = 30 °:

sin 30 ° = 1/2 (according to the Bradis table);

The sinus is equal to the ratio of the opposite leg to the hypotenuse;

BF / AB = 1/2;

BF / 24 = 1/2;

BF = 24/2;

BF = 12 cm.

Answer: height BF of parallelogram ABCD = 12 cm.