document.write( "Question 257934: in a right triangle with the hypotenuse c=10 and the angle A=50 degrees the side b equals? \n" ); document.write( "

Algebra.Com's Answer #189792 by Edwin McCravy(20056) $\"\"$ $\"About$

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in a right triangle with the hypotenuse c=10 and the angle A=50 degrees the side b equals?
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document.write( "To do that problem you must learn the parts of a right triangle. \r\n" );
document.write( "That is, you MUST learn:\r\n" );
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document.write( "1. What the leg opposite a given angle means\r\n" );
document.write( "2. What the leg adjacent to a given angle means\r\n" );
document.write( "3. What the hypotenuse means\r\n" );
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document.write( "The hypotenuse is the longest side of a right triangle. It is also\r\n" );
document.write( "the side opposite the right angle.  \"Opposite an angle\" means\r\n" );
document.write( "\"across the triangle from the angle\".\r\n" );
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document.write( "The other two sides of a right triangle are shorter than the\r\n" );
document.write( "hypotenuse and are called \"legs\".\r\n" );
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document.write( "The leg which is next to an angle is called the \"adjacent leg\"\r\n" );
document.write( "of that angle.\r\n" );
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document.write( "The leg which is NOT adjacent to but is across the triangle from\r\n" );
document.write( "an angle is called the \"opposite leg\" of that angle.\r\n" );
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document.write( "Observe that the side which is opposite one acute angle is\r\n" );
document.write( "adjacent to the other acute angle.\r\n" );
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document.write( "Then you MUST memorize the 3 trig ratios:\r\n" );
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document.write( "1. \r\n" );
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document.write( "2. \r\n" );
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document.write( "3. \r\n" );
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document.write( "Those three are enough for calculating purposes, but there\r\n" );
document.write( "are three other ones, the recip[rocals of the above: \r\n" );
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document.write( "4. \r\n" );
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document.write( "5. \r\n" );
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document.write( "6. \r\n" );
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document.write( "You must also memorize the standard labeling of a right triangle\r\n" );
document.write( "ABC.\r\n" );
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document.write( "1. The right angle is labeled capital \"C\".\r\n" );
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document.write( "2. The leg opposite the angle A is labeled by the small letter \"a\".\r\n" );
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document.write( "3. The leg opposite the angle B is labeled by the small letter \"B\".\r\n" );
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document.write( "4. The hypotenuse is labeled by the small letter \"c\"\r\n" );
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document.write( "Now if you have memorized all that, then you are ready to\r\n" );
document.write( "tackle this problem, but not until.\r\n" );
document.write( "

\n" ); document.write( "in a right triangle with the hypotenuse c=10 and the angle A=50 degrees the side b equals?
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document.write( "Your triangle is like this:\r\n" );
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document.write( "You ask yourself two questions:\r\n" );
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document.write( "1. What is given? \r\n" );
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document.write( "2. What am I to find?\r\n" );
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document.write( "The answer to question 1 is \"the hypotenuse c and the angle A\"\r\n" );
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document.write( "The answer to question 2 is \"the side b which is opposite angle B, and\r\n" );
document.write( "adjacent to angle A\"\r\n" );
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document.write( "Now you ask yourself this question:\r\n" );
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document.write( "Which of the first three trig ratios involves\r\n" );
document.write( "only what is given and what I am to find.\r\n" );
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document.write( "You look through these:\r\n" );
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document.write( "1. \r\n" );
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document.write( "2. \r\n" );
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document.write( "3. \r\n" );
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document.write( "and you observe that only one of these three involves both\r\n" );
document.write( "what you are given and what you are to find and that is\r\n" );
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document.write( "2. \r\n" );
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document.write( "So you substitute A = 50° and b for the leg adjacent angle A,\r\n" );
document.write( "and 10 for c, the hypotenuse:\r\n" );
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document.write( "Now put a 1 under the term on the left:\r\n" );
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document.write( "And cross-multiply, getting\r\n" );
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document.write( "Now get you calculator, make sure it's in degree mode,\r\n" );
document.write( "not radian mode, and punch the answer out as\r\n" );
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document.write( "If your teacher says to round it off to a certain number of\r\n" );
document.write( "decimal places according to some rule, then follow the rule\r\n" );
document.write( "and round it to, say, \r\n" );
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document.write( "Edwin

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