document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1087771>Question 1087771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A=99°, a=14.3&#8203;in., b=15.3in.<BR>\n" );
document.write( "Can you please tell me the answer AND if there is: one solution, two solutions or if there are no solutions. Thank you!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702061 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=702061\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\">Use the law of sines to solve for angle B.\r<BR>\n" );
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document.write( "sin(A)/a = sin(B)/b\r<BR>\n" );
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document.write( "sin(99)/14.3 = sin(B)/15.3\r<BR>\n" );
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document.write( "0.0690691147269327 = sin(B)/15.3 <font color=blue> Use a calculator to compute the left side (make sure you are in degree mode)</font>\r<BR>\n" );
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document.write( "15.3*0.0690691147269327 = 15.3*sin(B)/15.3  <font color=blue> multiply both sides by 15.3</font>\r<BR>\n" );
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document.write( "1.05675745532207 = sin(B)\r<BR>\n" );
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document.write( "sin(B) = 1.05675745532207\r<BR>\n" );
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document.write( "The right hand side value 1.05675745532207 is larger than 1. This value is outside the range of the sine function, which is -1 <= y <= 1. \r<BR>\n" );
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document.write( "The value of arcsin(1.05675745532207) is undefined.\r<BR>\n" );
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document.write( "This means that we cannot solve for B.\r<BR>\n" );
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document.write( "Therefore, <font color=red>No triangle is possible</font> which is another way of saying that there are <font color=red>No solutions</font>.\r<BR>\n" );
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document.write( "----------------------------------------------------\r<BR>\n" );
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document.write( "We can see this with a drawing\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"https://i.imgur.com/5mQbB5G.png\">\r<BR>\n" );
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document.write( "(Image generated by <a  rel=nofollow HREF= \"https://www.geogebra.org/home?ggbLang=en\">GeoGebra</a> which is free graphing software)\r<BR>\n" );
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document.write( "The green angle is angle A = 99 degrees\r<BR>\n" );
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document.write( "The green segment is side a = 14.3 units\r<BR>\n" );
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document.write( "The red segment is side b = 15.3 units\r<BR>\n" );
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document.write( "The blue dashed segment (From point B1 to point B2) is the portion that doesn't exist. It's an empty gap. If it did exist, then we'd be able to make the triangle possible. However we come up short. This drawing is to scale and it visually confirms the answer. </font> </SPAN>\n" );
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