Some errors:
1. You've type rectangular brackets here:

(around the theta function). Don't ever do that unless you want to create a matrix.
2. Your equations are NOT unit balanced with the given guess values for b2 and D2, set them to be 1 m each to correct that.
3. The root function can solve only ONE variable, not two, and not an expression (like b2/D2)...
In this case you can pull a trick to solve it with root anyway: Multiply the first equation on both sides with D2^2, then the left hand segment becomes equal to the right-hand segment of the second, and we can solve for D2:

Now we know D2, we can solve b2 with:

Or you can look up how to use a solve block in Prime poperly, and use that.
Or you can solve the set symbolically, like I showed in my first reply.
Success!
Luc