document.write( "Question 1147782: The angle of elevation of the top of a building from point A on the ground is 24.1 degrees . From point B, which is 44.5 ft closer, the angle of elevation is 38.1 degrees. what is the height of the building \n" ); document.write( "
Algebra.Com's Answer #769144 by ankor@dixie-net.com(22740)\"\" \"About 
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The angle of elevation of the top of a building from point A on the ground is 24.1 degrees .
\n" ); document.write( " From point B, which is 44.5 ft closer, the angle of elevation is 38.1 degrees. what is the height of the building
\n" ); document.write( ":
\n" ); document.write( "let h = the height of the building
\n" ); document.write( "Let's treat this as two right triangles with the same opposite side(bldg height)
\n" ); document.write( "let x = the distance from B = x
\n" ); document.write( "then
\n" ); document.write( "(x+44.5) = A's distance to the building
\n" ); document.write( "1st triangle
\n" ); document.write( "tan(24.1) = \"h%2F%28x%2B44.1%29\"
\n" ); document.write( "tan(24.1)(x+44.1) = h
\n" ); document.write( "2nd triangle
\n" ); document.write( "tan(38.1) = \"h%2Fx\"
\n" ); document.write( "tan(38.1)x = h
\n" ); document.write( "h=h therefore
\n" ); document.write( "tan(38.1)x = tan(24.1)(x+44.5)
\n" ); document.write( "Find the tan of the angles
\n" ); document.write( ".7841x = .4473(x+44.5)
\n" ); document.write( ".7841x - .4473x + 19.9
\n" ); document.write( ".7841x - .4473x = 19.9
\n" ); document.write( ".3368x = 19.9
\n" ); document.write( "x = 19.9/.3368
\n" ); document.write( "x = 59.1 ft
\n" ); document.write( "Find the height of the building using the closer triangle
\n" ); document.write( "h = tan(38.1)*59.1
\n" ); document.write( "h = 46.33 ft
\n" ); document.write( ":
\n" ); document.write( "Check the height using the other triangle
\n" ); document.write( "h = tan(24.1)(59.1+44.5)
\n" ); document.write( "h = 46.34 ft \n" ); document.write( "
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