document.write( "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.\r
\n" ); document.write( "\n" ); document.write( "Solve for x (x=AB) in the figure shown
\n" ); document.write( "CD=200 \r
\n" ); document.write( "\n" ); document.write( "http://i.imgur.com/PqcA5E3.png
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Algebra.Com's Answer #587337 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "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.\r
\n" ); document.write( "\n" ); document.write( "Solve for x (x=AB) in the figure shown
\n" ); document.write( "CD=200 \r
\n" ); document.write( "\n" ); document.write( "http://i.imgur.com/PqcA5E3.png
\n" ); document.write( "
From ∆BDC, tan ∠DBC = \"O%2FA\"
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document.write( "\"tan+60%5Eo+=+DC%2FBD\"
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document.write( "\"tan+60%5Eo+=+200%2FBD\"
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document.write( "\"BD+%2A+tan+60%5Eo+=+200\" ------- Cross-multiplying
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document.write( "\"BD+=+200%2Ftan+60%5Eo\"
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document.write( "\"BD+=+200\"\"%22%F7%22\"\"%28sin+60%5Eo%2Fcos+60%5Eo%29\" ------ \"tan+60%5Eo+=+%28sin+60%5Eo%29%2F%28cos+60%5Eo%29\"
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document.write( "\"BD+=+200\"\"%22%F7%22\"\"%28sqrt%283%29%2F2%29%2F%281%2F2%29\" ------ \"sin+60%5Eo+=+sqrt%283%29%2F2\" and \"cos+60%5Eo+=+1%2F2\"
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document.write( "\"BD+=+200\"\"%22%F7%22\"(\"sqrt%283%29%2F2\"\"%22%F7%22\"\"1%2F2\")
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document.write( "\"BD+=+200\"\"%22%F7%22\"(\"sqrt%283%29%2F2\"\"%22%2A%22\"\"2%2F1\")
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document.write( "\"BD+=+200%2Fsqrt%283%29\", or \"200sqrt%283%29%2F3\"\r
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document.write( "From ∆ABD, sin ∠BAD = \"O%2FH\"
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document.write( "\"sin+60%5Eo+=+BD%2FAB\"
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document.write( "\"sin+60%5Eo+=+BD%2Fx\" 
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document.write( "\"sin+60%5Eo+=+%28200sqrt%283%29%2F3%29%2Fx\"
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document.write( "\"x+%2A+sin+60%5Eo+=+%28200sqrt%283%29%29%2F3\" --------- Cross-multiplying
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document.write( "\"x+=+200sqrt%283%29%2F3\"\"%22%F7%22\"\"sin+60%5Eo\"
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document.write( "\"x+=+200sqrt%283%29%2F3\"\"%22%F7%22\"\"sqrt%283%29%2F2\"
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document.write( "\"x+=+200sqrt%283%29%2F3\"\"%22%2A%22\"\"2%2Fsqrt%283%29\"
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document.write( "\"x+=+200cross%28sqrt%283%29%29%2F3\"\"%22%2A%22\"\"2%2Fcross%28sqrt%283%29%29\"
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document.write( "AB, or \"highlight_green%28x+=+400%2F3%29\" \n" );
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