document.write( "Question 1194161: In triangle ABC, tanA= 3/4, tanB= 1, and a=10; find b in simplest radical form. \r
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Algebra.Com's Answer #826302 by ikleyn(52803)\"\" \"About 
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\n" ); document.write( "In triangle ABC, tanA= 3/4, tanB= 1, and a=10; find b in simplest radical form.
\n" ); document.write( "At the end, I got b= (10sin(45))/sin(36.9). How would I put this final answer 11.8 into radical form?
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document.write( "Having  tan(A) = y/x = 3/4, you may think that y= 3, x= 4  and therefore  \r\n" );
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document.write( "    sin(A) = \"y%2Fsqrt%28x%5E2+%2B+y%5E2%29\" = \"3%2Fsqrt%283%5E2%2B4%5E2%29\" = 3/5.\r\n" );
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document.write( "Next, having  tan(B) = 1, you conclude that  B = 45 degrees;  hence, sin(B) = \"sqrt%282%29%2F2\".\r\n" );
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document.write( "After that, apply the sine law in the form\r\n" );
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document.write( "    \"a%2Fsin%28A%29\" = \"b%2Fsin%28B%29\".\r\n" );
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document.write( "Everything except \"b\" is just known to you, so you write\r\n" );
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document.write( "    b = \"a%2A%28sin%28B%29%2Fsin%28A%29%29\" = and substitute what you just know = \"10%2A%28%28%28sqrt%282%29%2F2%29%29%2F%28%283%2F5%29%29%29\" = \"10%2A%285%2Asqrt%282%29%29%2F%282%2A3%29%29\" = \"%2825%2Asqrt%282%29%29%2F3\" = 11.785 (approximately).\r\n" );
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document.write( "ANSWER.  b = \"%2825%2Asqrt%282%29%29%2F3\" = 11.785 (approximately).\r\n" );
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