In triangle ADE, angle D = 90 degrees, DE = 8, sin A = 8 Find the hypotenuse of the triangle.

Since, by condition, the angle ADE = 90, then the triangle ADE is rectangular.

In a right-angled triangle, the sine of its acute angle is the ratio of the length of the opposite leg to the length of the hypotenuse.

Then SinDAE = DE / AE = 0.2.

AE = DE / 0.2 = 8 / 0.2 = 40 cm.

Answer: The length of the hypotenuse AE is 40 cm.

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