Answer:
CD = 5.20 units to the nearest hundredth.
Explanation:
Triangle BCD is a right angled triangle with m < C = 60 degrees (because triangle ABC is equilateral).
tan 60 = 9/CD
CD = 9 / tan 60
= 5.196.
The answer to your question is: CD = 5.2 units
ΔABC is equilateral, then its angles are 60°, 90° and 30°
∠C = 60°
sin 60° = 6 / hypotenuse
hypotenuse = BC = 9 / sin 60
BC = 6.9
tan 60 = 9/ CD
CD = 5.2 u
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