document.write( "Question 93817This question is from textbook algebra and trigonometry
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document.write( ": someone show me how to solve this?? If an observer is 200ft from a building and the angle of elevation to the top of a building is 60 degrees, what is the height of the building?can \n" );
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Algebra.Com's Answer #68332 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If an observer is 200ft from a building and the angle of elevation to the top of a building is 60 degrees, what is the height of the building? \n" ); document.write( "--------------- \n" ); document.write( "Draw the picture. \n" ); document.write( "If the angle of inclination is 60 degrees and the building forms a right \n" ); document.write( "triangle with the ground, the 3rd angle of the triangle formed is 30 degrees. \n" ); document.write( "--------------- \n" ); document.write( "The side opposite the 30 degree angle is (1/2) the hypotenuse. \n" ); document.write( "That side opposite is 200 ft so the hypotenuse is 400 ft. \n" ); document.write( "---------------------- \n" ); document.write( "Use Pythagoras to find the 3rd side of the right triangle which is the building. \n" ); document.write( "400^2 = 200^2 + x^2 \n" ); document.write( "x^2 = 160000 - 40000 = 120000 \n" ); document.write( "x = 346.41 ft \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |