document.write( "Question 888899: A tower of 27.5 m tall makes an angle of 126 degrees with the inclined road on which it is located. Determine the angle subtended by the tower at a point 35 m down the road. Answer and solution please. \n" ); document.write( "
Algebra.Com's Answer #537768 by harpazo(655) You can put this solution on YOUR website! The tower is 27.5 meters tall.\r \n" ); document.write( "\n" ); document.write( "The angle 126 degrees is an angle of depression.\r \n" ); document.write( "\n" ); document.write( "We want to know the angle at a point which is 35 meters away from the base of the tower. The angle we seek is called the angle of elevation. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We can use a trig function to find the angle.\r \n" ); document.write( "\n" ); document.write( "We know the height of the tower and the how far the needed angle is located.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use tangent.\r \n" ); document.write( "\n" ); document.write( "Let x be the angle we need.\r \n" ); document.write( "\n" ); document.write( "tan(x) = 27.5/35\r \n" ); document.write( "\n" ); document.write( "Since we are looking for an angle, use the inverse tangent function on your calculator.\r \n" ); document.write( "\n" ); document.write( "x = arctan(27.5/35)\r \n" ); document.write( "\n" ); document.write( "x is approximately 38.16 degrees. \n" ); document.write( " |