document.write( "Question 121392This question is from textbook elementary and imtermediate algebra
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document.write( ": Betty observed that the lamp post in front of her house cast a shadow of length 8 feet when the angle of inclination of the sun is 60 degrees. How tall is the lamp post? ( in a 30-60-90 right triangle, the side opposite 30 is one half the length of the hypotenuse.) \n" );
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Algebra.Com's Answer #89071 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Betty observed that the lamp post in front of her house cast a shadow of length 8 feet when the angle of inclination of the sun is 60 degrees. How tall is the lamp post? ( in a 30-60-90 right triangle, the side opposite 30 is one half the length of the hypotenuse.) \n" ); document.write( "------------------------ \n" ); document.write( "Draw the picture: a right triangle with height = lamp post of length \"x\", \n" ); document.write( "and base = shadow of length 8 ft, and angle opposite \"x\" = 60 degrees. \n" ); document.write( "----------------- \n" ); document.write( "EQUATION: \n" ); document.write( "tan(60) = x/8 \n" ); document.write( "x = 8tan(60) \n" ); document.write( "x = 13.86 ft. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |