document.write( "Question 947398: During a windstorm, part of the top of a flagpole breaks off. The broken top portion touches the ground at an angle of 75° 12 feet from its base.\r
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document.write( "How tall was the pole before the windstorm?\r
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document.write( "Round your answer to one decimal place and show steps.
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Algebra.Com's Answer #578145 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! During a windstorm, part of the top of a flagpole breaks off. \n" ); document.write( " The broken top portion touches the ground at an angle of 75° 12 feet from its base. \n" ); document.write( "How tall was the pole before the windstorm? \n" ); document.write( ": \n" ); document.write( "The broken flag pole forms a right triangle with the ground |\ \n" ); document.write( ": \n" ); document.write( "The vertical portion remaining (v) is the side opposite the 75 degree angle \n" ); document.write( "The broken (b) portion reaching the ground would be the hypotenuse \n" ); document.write( "The side adjacent is the ground which is 12\" \n" ); document.write( ": \n" ); document.write( "Find the vertical portion (v) using the tangent of 75 degrees \n" ); document.write( "tan(75) = \n" ); document.write( "v = 3.732 * 12 \n" ); document.write( "v = 44.78 ft \n" ); document.write( "Find the hypotenuse (b) using the cosine of 75 degrees \n" ); document.write( "cos(75) = \n" ); document.write( "b = \n" ); document.write( "b = 46.36 ft \n" ); document.write( ": \n" ); document.write( "The original height of the flag pole will be the sum of v and b \n" ); document.write( "44.78 + 46.36 = 91.1 ft tall \n" ); document.write( " \n" ); document.write( " |