#### Answer

DC=$\frac{10\sqrt 3}{3}$$\approx$5.77
DB=$\frac{20\sqrt 3}{3}$$\approx$11.56

#### Work Step by Step

CB=AC$\sqrt 3$
CB=10$\sqrt 3$
DC$\sqrt 3$=AC
DC=$\frac{10\sqrt 3}{3}$$\approx$5.77
DB=CB-DC
DB=10$\sqrt 3$-$\frac{10\sqrt 3}{3}$
DB=$\frac{20\sqrt 3}{3}$$\approx$11.56