document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137114>Question 1137114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with these three problems\r<BR>\n" );
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document.write( "1. The angle of elevation from a point on the ground to the top of a building is 35 degrees. If the point on the ground is 150 ft from the building, how tall is the building?\r<BR>\n" );
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document.write( "The building is feet tall.\r<BR>\n" );
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document.write( "2. <BR>\n" );
document.write( "A boat is spotted from the top of a 15 ft lighthouse at an angle of depression of 20 degrees. How far from the base of the lighthouse is the boat to nearest tenth? \r<BR>\n" );
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document.write( "The boat is feet away from the base of the lighthouse.\r<BR>\n" );
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document.write( "3.<BR>\n" );
document.write( "A ramp rises 1 ft for every 7 ft horizontal. What angle, to the nearest degree, does the ramp make with the ground? \r<BR>\n" );
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document.write( "The ramp makes a degree angle from the ground.\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 #754939 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=754939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here's my worksheet.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/032102.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "in problem 1, x is the height of the building.\r<BR>\n" );
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document.write( "tan(35) = x / 150\r<BR>\n" );
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document.write( "solve for x to get x = 150 * tan(35) = 105.0311307 feet.\r<BR>\n" );
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document.write( "rounded to the nearest tenth of a foot, it's 105 feet.\r<BR>\n" );
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document.write( "rounded to the nearest hundredth of a foot, it's 105.03 feet.\r<BR>\n" );
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document.write( "in problem 2, x is the distance from the lighthouse.\r<BR>\n" );
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document.write( "the angle of depression is 20 degrees.\r<BR>\n" );
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document.write( "a right triangle is formed where the vertical distance is 15 and the horizontal distance is x.\r<BR>\n" );
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document.write( "the top angle of the triangle is 70 which makes the bottom right angle equal to 20 degrees.\r<BR>\n" );
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document.write( "tan(20) = 15 / x\r<BR>\n" );
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document.write( "solve for x to get x = 15 / tan(20) = 41.21216129 feet.\r<BR>\n" );
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document.write( "round to nearest tenth to get 41.2 feet.\r<BR>\n" );
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document.write( "round to nearest hundredth to get 41.21 feet.\r<BR>\n" );
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document.write( "in problem 3, the horizontal distance is 7 and the vertical distance is 1.\r<BR>\n" );
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document.write( "x is the angle of elevation from the ground.\r<BR>\n" );
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document.write( "tan(x) = 1/7.\r<BR>\n" );
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document.write( "solve for x to get x = arc tangent (1/7) = 8.130102354 degrees\r<BR>\n" );
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document.write( "round to nearest tenth to get 8.1 degrees.\r<BR>\n" );
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document.write( "round to nearest hundredth to get 8.13 degrees.\r<BR>\n" );
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