document.write( "Question 1190507: The angle of depression of a boat which is directly out to sea as observed from the top of a vertical cliff 50m high is 32degree. Find the distance of the boat from the foot of the cliff
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Algebra.Com's Answer #822159 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The angle of depression is where you start looking directly horizontal, then look down the number of degrees mentioned. \n" ); document.write( "Refer to the drawing below \n" ); document.write( " ![]() \n" ); document.write( "Notice how 58+32 = 90\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "tan(angle) = opposite/adjacent \n" ); document.write( "tan(58) = x/50 \n" ); document.write( "x = 50*tan(58) \n" ); document.write( "x = 80.0167264520526\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The distance is roughly 80 meters. \n" ); document.write( "Round however else you need if your teacher instructs. \n" ); document.write( " \n" ); document.write( " |