document.write( "Question 149978: From a point on the ground 500 feet from the base of a building, it is observed that the angle of elevation to the top of the building is 24 degrees and the angle of elevation to the top of a flagpole atop the building is 27 degrees. Find the height of the building and the length of the flagpole. \n" ); document.write( "
Algebra.Com's Answer #110145 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! From a point on the ground 500 feet from the base of a building, it is observed that the angle of elevation to the top of the building is 24 degrees and the angle of elevation to the top of a flagpole atop the building is 27 degrees. Find the height of the building and the length of the flagpole. \n" ); document.write( ": \n" ); document.write( "We can use the tangent here, Find the side opposite, call it x: \n" ); document.write( "tan(24) = \n" ); document.write( "x = 500 * .44522287 \n" ); document.write( "x = 222.6 ft is the building \n" ); document.write( "; \n" ); document.write( "tan(27) = \n" ); document.write( "x = 500 * .509525 \n" ); document.write( "x = 254.8 ft, ground to top of flag pole \n" ); document.write( "then \n" ); document.write( "254.8 - 222.6 = 32.2 ft length of the flag pole \n" ); document.write( " |