document.write( "Question 576268: To find the height of a flagpole, a surveyor moves 90 feet away from the base of the flagpole and then, with a transit 3 feet tall, measures the angle of elevation to the top of the flagpole to be 60°. What is the height of the flagpole? Round your answer to the nearest foot. \n" ); document.write( "
Algebra.Com's Answer #369768 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! To find the height of a flagpole, a surveyor moves 90 feet away from the base of the flagpole and then, with a transit 3 feet tall, measures the angle of elevation to the top of the flagpole to be 60°. What is the height of the flagpole? Round your answer to the nearest foot. \n" ); document.write( "applying trig... \n" ); document.write( "Let x = length of flag pole from the transit \n" ); document.write( "then \n" ); document.write( "tan(60) = x/90 \n" ); document.write( "90*tan(60) = x \n" ); document.write( "155.88 = x \n" ); document.write( "rounded \n" ); document.write( "156 = x\r \n" ); document.write( "\n" ); document.write( ". \n" ); document.write( "Now, we must add the height of the transit: \n" ); document.write( "156 + 3 = 159 feet \n" ); document.write( " |