document.write( "Question 1090046: A man on the deck of a ship is 15 ft above sea level. He observes that the angle of elevation of the top of the cliff is 70° and the angle of deppression of its base at sea level is 50° . Find the height of the cliff and its distance from the ship \n" ); document.write( "

Algebra.Com's Answer #704510 by josgarithmetic(39621) $\"\"$ $\"About$

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Bottom right triangle, angles 90, 50, 40 degree; the 40 degree angle at bottom of the cliff.\r
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\n" ); document.write( "\n" ); document.write( "Distance from cliff to ship deck, $\"15%2A%28sin%2840%29%2Fsin%2850%29%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Upper right triangle, angles 90, 70, 20; the 20 degree angle at the top of the cliff.
\n" ); document.write( "Leg along the cliff, y,
\n" ); document.write( " $\"y%2Fsin%2870%29=%2815%2A%28sin%2840%29%2Fsin%2850%29%29%29%2Fsin%2820%29\"$ -----simplify and solve for y and compute.\r
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\n" ); document.write( "\n" ); document.write( "Cliff total height, y+15. \n" ); document.write( "

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