document.write( "Question 390192: When the sun's angles of elevation is 30degrees the shadow of the post is 6 ft longer then when the angle is 45 degrees . find the height of the post.\r
\n" ); document.write( "\n" ); document.write( "Can you please include the work of how the question was answered.
\n" ); document.write( " Thank you! \n" ); document.write( "
Algebra.Com's Answer #276703 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
When the sun's angle of elevation is 30 degrees the shadow of the post is 6 ft longer then when the angle is 45 degrees . find the height of the post.
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\n" ); document.write( "Let the height of the post be \"x\" ft.
\n" ); document.write( "Then the shadow at 45 degrees is \"x\" ft.
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\n" ); document.write( "Shadow at 30 degrees will be x+6 ft.
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\n" ); document.write( "You have a 30/60 degree right triangle
\n" ); document.write( "with legs x and x+6.
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\n" ); document.write( "The hypotenuse will be 2*the side opposite the 30 degree angle.
\n" ); document.write( "hypotenuse = 2x
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\n" ); document.write( "The hypotenuse will also be sqrt[x^2 + (x+6)^2]
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\n" ); document.write( "Solve for \"x\":
\n" ); document.write( "2x = sqrt[x^2 + (x+6)^2]
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\n" ); document.write( "4x^2 = x^2 + x^2+12x+36
\n" ); document.write( "2x^2-12x-36 = 0
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\n" ); document.write( "x^2 - 6x - 18 = 0
\n" ); document.write( "x = [6 +- sqrt[36-4*1*-18]/(2)
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\n" ); document.write( "Positive solution:
\n" ); document.write( "x = [6 + 10.39]/2
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\n" ); document.write( "x = 8.195 ft.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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