document.write( "Question 384605: I am having a nightmare with this one. Can someone please help me.\r
\n" ); document.write( "\n" ); document.write( "A 75-ft diagonal brace on a bridge connects a support of the center of the bridge to a side support on the bridge. The horizontal distance that it spans is 15 ft longer that the height that it reaches on the side of the bridge. Find the horizontal and vertical distances spanned by this brace.
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Algebra.Com's Answer #272259 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
You could use the Pythagorean theorem \"c%5E2+=+a%5E2%2Bb%5E2\" to solve this problem.
\n" ); document.write( "You have a right triangle whose hypotenuse is the 75ft. diagonal and whose height is h. The base of this triangle is h+15ft.
\n" ); document.write( "You need to find h and h+15.
\n" ); document.write( "\"75%5E2+=+h%5E2%2B%28h%2B15%29%5E2\"
\n" ); document.write( "\"5625+=+h%5E2%2B%28h%5E2%2B30h%2B225%29\" Rewrite as a quadratic equation in standard form.
\n" ); document.write( "\"2h%5E2%2B30h-5400+=+0\" Divide by 2 to simplify a bit.
\n" ); document.write( "\"h%5E2%2B15h-2700+=+0\" Solve by factoring.
\n" ); document.write( "\"%28h%2B60%29%28h-45%29+=+0\" Apply the zero product rule.
\n" ); document.write( "\"h%2B60+=+0\" or \"h-45+=+0\"
\n" ); document.write( "\"h+=+-60\" or \"h+=+45\" Discard the negative solution as the height, h, is a positive quantity.
\n" ); document.write( "\"h+=+45\"feet. This is the vertical distance.
\n" ); document.write( "\"h%2B15+=+60\"feet. This is the horizontal distance.
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\n" ); document.write( "I do hope this takes care of your nightmare!
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