document.write( "Question 1016477: The angle of depression of boat A from the tip of a cliff which measures 32m is 24deg 16 min, while boat B from the same point measures 18deg 12min angle of depression. FIND THE DISTANCE BETWEEN BOAT A AND B. \n" ); document.write( "
Algebra.Com's Answer #632884 by ankor@dixie-net.com(22740)\"\" \"About 
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The angle of depression of boat A from the tip of a cliff which measures 32m is 24deg 16 min, while boat B from the same point measures 18deg 12min angle of depression.
\n" ); document.write( " FIND THE DISTANCE BETWEEN BOAT A AND B.
\n" ); document.write( ":
\n" ); document.write( "Change 24 deg 16 min to 24.267 degrees (divide 16 by 60)
\n" ); document.write( "Change 18 deg 12 min to 18.2 degrees
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\n" ); document.write( "Draw this out. We can see two right triangle, one for each boat
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\n" ); document.write( "Boat A
\n" ); document.write( "The interior angle: 90 - 24.267 = 65.733 degrees
\n" ); document.write( "The distance (d) from the base of the cliff to Boat A is the side opposite 65.733 deg
\n" ); document.write( "Tan(65.733) = \"d%2F32\"
\n" ); document.write( "d = 32 * 2.218
\n" ); document.write( "d = 70.98 m to Boat A
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\n" ); document.write( "Boat B
\n" ); document.write( "The interior angle: 90 - 18.2 = 71.8 degrees
\n" ); document.write( "The distance (d) from the base of the cliff to Boat B is the side opposite 71.8 deg
\n" ); document.write( "Tan(71.8) = \"d%2F32\"
\n" ); document.write( "d = 32 * 3.04
\n" ); document.write( "d = 97.33 m to Boat B
\n" ); document.write( ":
\n" ); document.write( "Find the distance between them
\n" ); document.write( "97.33 - 70.98 = 26.35 meters between Boat A & B
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