SOLUTION: I posted before. Could I get steps on how to solve this. If possible algebraically, I have to know how to solve it without a calculator. Solve for x (x=AB) in the figure shown

Question 960990: I posted before. Could I get steps on how to solve this. If possible algebraically, I have to know how to solve it without a calculator.
Solve for x (x=AB) in the figure shown
CD=200
http://i.imgur.com/PqcA5E3.png

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Find :
Angle degrees

...exact
.....approximately
Then,

....approximately

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

I posted before. Could I get steps on how to solve this. If possible algebraically, I have to know how to solve it without a calculator.
Solve for x (x=AB) in the figure shown
CD=200
http://i.imgur.com/PqcA5E3.png

From ∆BDC, tan ∠DBC =

------- Cross-multiplying

------
------ and
()
()
, or
From ∆ABD, sin ∠BAD =

--------- Cross-multiplying

AB, or
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