document.write( "Question 369002: Lewis Tower in Philadelphia is 400 ft. high. Suppose that a ball is projected upward from the top of the tower, and its position in feet above the ground is given by the quadratic function defined by f(t)= -16t^2+45t+400, where t is the number of seconds elapsed. How long to the nearest 10th of a second will it take for the ball to reach a height of 200 ft. above the ground?\r
\n" ); document.write( "\n" ); document.write( "I used the pythagorean theorem but I got 6.6 and the answer is 5.2. I don't know what I am doing wrong.
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Algebra.Com's Answer #262966 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "position in feet above the ground = -16t^2+45t+400
\n" ); document.write( "How long will it take for the ball to reach a height of 200 ft. above the ground
\n" ); document.write( "200 = -16t^2+45t+400
\n" ); document.write( "16t^2 - 45t - 200 = 0
\n" ); document.write( "\"t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"t+=+%2845+%2B-+sqrt%28+14825%29%29%2F%2832%29+\"
\n" ); document.write( "\"t+=+%2845+%2B-+121.8%29%2F%2832%29+\" Note: solution t < 0 cannot use
\n" ); document.write( "t = 166.8 /32 = 5.2 sec \n" ); document.write( "
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