document.write( "Question 220302: On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 32 m long and the shadow is 24 m, how tall is the building? \r
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document.write( "Please help me on this. \n" );
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Algebra.Com's Answer #165799 by likaaka(51)![]() ![]() ![]() You can put this solution on YOUR website! You need to use the Pythagorean Theorem to solve since we are given a right triangle and the length of the hypotenuse and a side. \n" ); document.write( "a^2 + b^2 = c^2, where c is the length of the hypotenuse and a & b are the lengths of the other two sides \n" ); document.write( "Now plug in what is given \n" ); document.write( "24^2 + b^2 = 32^2, perform square operation \n" ); document.write( "576 + b^2 = 1024, subtract 576 from both sides \n" ); document.write( "b^2 = 448, square root both sides \n" ); document.write( "b = + or - 21.1660.... ***it's a real long decimal so plug into calculator if you need more places \n" ); document.write( "Since we are dealing with a height, it can't be negative so the buildings is 21.1660...meters tall \n" ); document.write( " |