document.write( "Question 280034: From the top of a 210 ft lighthouse, the angle of depression to a ship in the ocean is 21 degrees. How far is the ship from the base of the lighthouse to the nearest tenth of a foot? \n" ); document.write( "
Algebra.Com's Answer #854168 by ikleyn(53742) You can put this solution on YOUR website! . \n" ); document.write( "From the top of a 210 ft lighthouse, the angle of depression to a ship in the ocean is 21 degrees. \n" ); document.write( "How far is the ship from the base of the lighthouse to the nearest tenth of a foot? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The solution in the post by @mananth is incorrect. \n" ); document.write( " I came to bring a correct solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The angle of depression from the top of tower = angle of inclination from the ship \n" ); document.write( "tan(21°) = 210/distance from foot of light house \n" ); document.write( "distance = 210/tan(21°) = 210/0.38386403503 = 547 ft (rounded). ANSWER\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved correctly.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |