document.write( "Question 1203469: If the shadow of a pole 7m high is =1/2 its length,what is the angle of elevation of sun correct to the nearest degree \n" ); document.write( "
Algebra.Com's Answer #839055 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The pole is 7 meters tall. Half of this is 3.5 meters which is the shadow length. \n" ); document.write( "x = unknown angle of elevation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Draw a right triangle with: \n" ); document.write( "vertical leg = 7 = opposite angle x \n" ); document.write( "horizontal leg = 3.5 = adjacent to angle x \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "tan(angle) = opposite/adjacent \n" ); document.write( "tan(x) = 7/3.5 \n" ); document.write( "tan(x) = 2 \n" ); document.write( "x = arctan(2) \n" ); document.write( "x = 63.434948822922 \n" ); document.write( "x = 63 degrees \n" ); document.write( "Arctan is the same as inverse tangent. Make sure that your calculator is in degree mode.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 63 degrees (approximate) \n" ); document.write( " \n" ); document.write( " |