document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151496>Question 1151496</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two people at opposite ends of a bridge see a boat under the bridge at angles of 32 degrees and 55 degree each. Find the height of the bridge if it is 200m long.\r<BR>\n" );
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document.write( "I do have a photo but not sure how to upload it.\r<BR>\n" );
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document.write( "thanks\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #773262 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=773262\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "You can upload image attachments (at least I think you can) directly to the algebra.com website as you ask a question. <BR>\n" );
document.write( "Alternatively, you can use image hosting sites such as imgur or similar to share the image. Those sites will allow you to provide a link to be able to show the image. Let me know if you need more details.\r<BR>\n" );
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document.write( "Despite the fact that there is no picture, your description seems to be enough for me to visualize what's going on. <BR>\n" );
document.write( "Here is how I picture it.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"https://i.imgur.com/f2vC320.png\"><BR>\n" );
document.write( "Points A and B are the locations of the two people on the bridge. Point C is the boat's location. The image displayed here is being hosted by imgur. \r<BR>\n" );
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document.write( "Known info:<BR>\n" );
document.write( "A = 32, B = 55<BR>\n" );
document.write( "c = 200\r<BR>\n" );
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document.write( "From the two angles given, we can compute angle C as<BR>\n" );
document.write( "C = 180-A-B<BR>\n" );
document.write( "C = 180-32-55<BR>\n" );
document.write( "C = 93\r<BR>\n" );
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document.write( "We can use the law of sines to get…<BR>\n" );
document.write( "a/sin(A) = c/sin(C)<BR>\n" );
document.write( "a/sin(32) = 200/sin(93)<BR>\n" );
document.write( "a = sin(32)*(200/sin(93))<BR>\n" );
document.write( "a = 106.12929936294 which is approximate\r<BR>\n" );
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document.write( "Now I'm going to add in the red height line of length h<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"https://i.imgur.com/VoUnXjl.png\">\r<BR>\n" );
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document.write( "Focus on triangle BCD. Use the sine ratio to isolate h.<BR>\n" );
document.write( "sin(angle) = opposite/hypotenuse<BR>\n" );
document.write( "sin(B) = h/a<BR>\n" );
document.write( "h = a*sin(B)<BR>\n" );
document.write( "h = 106.12929936294*sin(55)<BR>\n" );
document.write( "h = 86.9360325321108<BR>\n" );
document.write( "h = 86.94\r<BR>\n" );
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document.write( "The height of the bridge is roughly 86.94 meters.<BR>\n" );
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