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Answer:
DE = 8√3cm
AE = 12√3cm
Step-by-step explanation:
∠DAE = 90°
AD = 12cm
∠EDA = 30°
cos 30° = adjacent side / hypotenuse
√3 / 2 = 12 / DE
DE = 12 × 2 / √3
DE = √3 ×√3 × 4 × 2 / √3
DE = 4 × √3 × 2
DE = 8√3cm
tan 30° = opposite side / adjacent side
tan 30° = AE / AD
√3 = AE / 12
AE = 12√3cm
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