Respuesta :

joseaaronlara

Answer:

The answer to your question is: CD = 5.2 units

Step-by-step explanation:

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 = 9 / tan 60

CD = 5.2 u

Answer:

CD = 5.20 units to the nearest hundredth.

Step-by-step 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.