document.write( "Question 272686: A boat is 1000 meters from a cliff. If the angle of depression from the top of the cliff to the boat is 15 degrees, how tall is the cliff? \n" ); document.write( "
Algebra.Com's Answer #854091 by ikleyn(53742) You can put this solution on YOUR website! . \n" ); document.write( "A boat is 1000 meters from a cliff. If the angle of depression from the top of the cliff to the boat \n" ); document.write( "is 15 degrees, how tall is the cliff? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The solution in the post by @mananth is fatally wrong.\r \n" ); document.write( "\n" ); document.write( " I came to bring a correct solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Angle of depression = 15 degrees \n" ); document.write( "The sides containing the right angle \n" ); document.write( "One side is the distance and the other side is the height \n" ); document.write( "tan(15°) = height / distance from cliff \n" ); document.write( "tan(15°) = height / 1000 \n" ); document.write( "height = 1000 * tan(15°) \n" ); document.write( "= 1000 * 0.26794919243 \n" ); document.write( "267.95 meters is the height (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( " |