In triangle ABC, angle C is 90 degrees, CH is height, BC = 8, sine of angle A is 0.5. find BH.

In a right-angled triangle, the cosine of one acute angle is equal to the sine of another acute angle, then SinBAC = CosABC = 0.5.

In a right-angled triangle ВСН CosABC = ВН / ВС.

ВН = ВС * CosABC = 8 * 0.5 = 4 cm.

Answer: The length of the ВН segment is 4 cm.



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