document.write( "Question 188351: a tree is 66 meters high casts a 44 meter shadow. find the angle of elevation of the sun. \n" ); document.write( "
Algebra.Com's Answer #141209 by aggie_tutor(13)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "|66
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\n" ); document.write( "|________\A
\n" ); document.write( "...44\r
\n" ); document.write( "\n" ); document.write( "a=66
\n" ); document.write( "b=44
\n" ); document.write( "Angle A is the sought angle. Since you know the a and b sides, use arctangent (inverse tan).
\n" ); document.write( "tan A = a/b
\n" ); document.write( "tan A = 66/44 = 1.5
\n" ); document.write( "now arctan the result to get the angle.
\n" ); document.write( "(inv tan)1.5 = 56.31 (rounded up)\r
\n" ); document.write( "\n" ); document.write( "Check your answer: all angles in the triangle add up to 180. The right triangle has a 90 degree angle, so 180-90-56.31 = 33.69 should be the other unsolved angle.
\n" ); document.write( "tan B = b/a
\n" ); document.write( "tan B = 44/66 = .6667
\n" ); document.write( "(inv tan).6667 = 33.69\r
\n" ); document.write( "\n" ); document.write( "Geometry purist may want to post a proof that does not use trig funcs.
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