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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