document.write( "Question 1049617: A line from the top of a cliff to the ground passes just over the top of a pole 9.0 feet high and meets the ground at a point 5.0 feet from the base of the pole. If the point is 84 feet from the base of the cliff, how high is the cliff? \n" ); document.write( "
Algebra.Com's Answer #665194 by stanbon(75887) ![]() You can put this solution on YOUR website! A line from the top of a cliff to the ground passes just over the top of a pole 9.0 feet high and meets the ground at a point 5.0 feet from the base of the pole. If the point is 84 feet from the base of the cliff, how high is the cliff? \n" ); document.write( "------ \n" ); document.write( "Sketch the picture. \n" ); document.write( "You should see two congruent right triangles with \n" ); document.write( "The smaller triangle has height = 9 ; base = 5 \n" ); document.write( "The larger triangle has height = h ; base = 84 \n" ); document.write( "------------------ \n" ); document.write( "Use a proportion: \n" ); document.write( "h/84 = 9/5 \n" ); document.write( "h = 84*9/5 \n" ); document.write( "h = 151.2 ft. \n" ); document.write( "------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------- \n" ); document.write( " |