document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=302213>Question 302213</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Julia, who is 1.51 m tall, wishes to find the height of a tree with a shadow 31.05 m long. She walks 20.70 m from the base of the tree along the shadow of the tree until her head is in a position where the tip of her shadow exactly overlaps the end of the tree top's shadow. How tall is the tree? Round to the nearest hundredth </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #216793 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=216793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Julia, who is 1.51 m tall, wishes to find the height of a tree with a shadow 31.05 m long. <BR>\n" );
document.write( "She walks 20.70 m from the base of the tree along the shadow of the tree until <BR>\n" );
document.write( "her head is in a position where the tip of her shadow exactly overlaps the end of the tree top's shadow. <BR>\n" );
document.write( "How tall is the tree? Round to the nearest hundredth.<BR>\n" );
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document.write( "We can use the property of two similar triangles. Corresponding sides have same ratios.<BR>\n" );
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document.write( "the triangle formed by the tree, it's shadow, and line to the sun<BR>\n" );
document.write( "is similar to:<BR>\n" );
document.write( " the triangle formed by the person, her shadow, and line to the sun<BR>\n" );
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document.write( "let t = height of the tree<BR>\n" );
document.write( "tree shadow given as 31.05 m<BR>\n" );
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document.write( "person height = 1.51 m<BR>\n" );
document.write( "person shadow: 31.05 - 20.70 = 10.35 m <BR>\n" );
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document.write( "A simple ratio equation using corresponding sides of each triangle<BR>\n" );
document.write( "tree height:person height = tree shadow:person shadow<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F1.51 ALIGN=MIDDLE  ALT=\"t%2F1.51\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31.05%2F10.35 ALIGN=MIDDLE  ALT=\"31.05%2F10.35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "10.35t = 1.51*31.05<BR>\n" );
document.write( "10.35t = 46.8855<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=46.8855%2F10.35 ALIGN=MIDDLE  ALT=\"46.8855%2F10.35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 4.53 m is the height of the tree<BR>\n" );
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