document.write( "Question 1136454: At distance x from the base of a building, the angle of elevation to top of the building is 19 degrees. The angle of elevation is 39 degrees if you walk 13 ft closer to the building. There is a 10 ft antenna on top of the building. Find the height from ground to the top of the antenna. \n" ); document.write( "
Algebra.Com's Answer #754301 by ankor@dixie-net.com(22740)\"\" \"About 
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At distance x from the base of a building, the angle of elevation to top of the building is 19 degrees.
\n" ); document.write( " The angle of elevation is 39 degrees if you walk 13 ft closer to the building.
\n" ); document.write( " There is a 10 ft antenna on top of the building.
\n" ); document.write( " Find the height from ground to the top of the antenna.
\n" ); document.write( ":
\n" ); document.write( "let h = the height of the building, a right triangle is formed
\n" ); document.write( "tan(19) = \"h%2Fx\"
\n" ); document.write( "and
\n" ); document.write( "tan(39) = \"h%2F%28%28x-13%29%29\"
\n" ); document.write( "Rearrange to
\n" ); document.write( "h = x*tan(19)
\n" ); document.write( "and
\n" ); document.write( "h = (x-13)*tan(39)
\n" ); document.write( "h = h, therefore
\n" ); document.write( "tan(39)*(x-13) = tan(19)*x
\n" ); document.write( ".8098x - 10.527 = .3443x
\n" ); document.write( ".8098x - .3443x = 10.527
\n" ); document.write( ".4655x = 10.527
\n" ); document.write( "x = \"10.527%2F.4655\"
\n" ); document.write( "x = 22.614 ft
\n" ); document.write( "find h
\n" ); document.write( "h = tan(19) * 22.614
\n" ); document.write( "h = 7.785 ft is the height of he building
\n" ); document.write( "therefore
\n" ); document.write( "7.785 + 10 = 17.785 ft is the height of the antenna
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( "Check this, find the height of the building using the tan of 39 degrees
\n" ); document.write( "tan(39) * (22.614-13) = 7.785 ft also \n" ); document.write( "
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