document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824491>Question 824491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the problem.\r<BR>\n" );
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document.write( "A projectile is fired from a cliff 100 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 170 feet per second. The height h of the projectile above the water is given by h(x)= -32x^2/(170)^2 + x + 100, where x is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is the height of the projectile a maximum?\r<BR>\n" );
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document.write( "Possible answers: A) 225.78ft B)451.56ft c)325.78ft D)777.34ft </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496538 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=496538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "h(x)= -32x^2/(170)^2 + x + 100<BR>\n" );
document.write( "h(x)= -1.1072664e-3x^2 + x + 100<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=-1.1072664e-3, b=1, and c=100<BR>\n" );
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document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "-1.1072664e-3 1 100<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "this quadratic has two real roots (the x-intercepts), which are:<BR>\n" );
document.write( "x = -90.8590996<BR>\n" );
document.write( "x = 993.984129<BR>\n" );
document.write( "the projectile strikes the ground 994 feet from the launch site.<BR>\n" );
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document.write( "the quadratic vertex is a maximum at: ( x= 451.562515, h= 325.781257 )<BR>\n" );
document.write( "the projectile reaches a maximum height of 325.8 feet above the ground<BR>\n" );
document.write( "at a horizontal distance of 451.6 feet from the launch site<BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
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document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
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document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
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