document.write( "Question 1105046: The angle of elevation of the sun is 30 degrees. Find the length of the shadow cast by a 30 meter high steeple. \n" ); document.write( "
Algebra.Com's Answer #719802 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the angle of elevation of the sun is 30 degrees. \n" ); document.write( "the steeple is 30 meters high.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the shadow of the steeple forms a right triangle where the opposite side is 30 meters and opposite the 30 degree angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the adjacent side to the 30 degree angle is the length of the shadow on the ground.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "tangent of 30 degrees is opposite / adjacent = 30 / x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x represents the length of the shadow.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of this equation by x to get x * tan(30) = 30.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by tan(30) to get x = 30 / tan(30).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for x to get x = 51.96152423.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's the length of the shadow.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the sketch of the problem looks like this:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() |