document.write( "Question 247111: from a ship's deck 12 meters above water, the angle of elevation of a building 50 meters from the edge of a cliff which is 950 meters away is 5 degrees 7 minutes. how high does the building rise above sea level? \n" ); document.write( "
Algebra.Com's Answer #180330 by Theo(13342) You can put this solution on YOUR website! total distance to the building is 950 + 50 meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "950 is the distance from the ship to the cliff. \n" ); document.write( "50 is the distance from the edge of the cliff to the building.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The angle of elevation from the ship's deck is 5 degrees 7 minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7/60 = .1166666667 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5 degrees 7 minutes translates to an angle of 5.1166666667 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "tan(5.1166666667) = x/1000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of this equation by 1000 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1000 * tan(5.1166666667) = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That turns out to be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 89.54083516 meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 12 to that and the building is 101.54083516 meters above the sea level.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |