document.write( "Question 388063: A boat is sailing due east parallel to the shore line at a speed of 10 miles per hour. At a given time, the bearing of the lighthosue is 70 degrees E and 15 minutes later, the bearing is 63 degrees E. The lighthouse is located on the shoreline. What is the distance from the boat to the shoreline. \n" ); document.write( "
Algebra.Com's Answer #275568 by CharlesG2(834)\"\" \"About 
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A boat is sailing due east parallel to the shore line at a speed of 10 miles per hour. At a given time, the bearing of the lighthouse is 70 degrees E and 15 minutes later, the bearing is 63 degrees E. The lighthouse is located on the shoreline. What is the distance from the boat to the shoreline.\r
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\n" ); document.write( "\n" ); document.write( "boat 10 mph
\n" ); document.write( "boat in 15 minutes (0.25 hours) --> d = 10 * 0.25 = 2.5 miles
\n" ); document.write( "bearing A = 70 degrees, bearing B = 63 degrees
\n" ); document.write( "difference between bearing A and bearing B = 70 - 63 = 7 degrees
\n" ); document.write( "boat is headed due east, bearing 90 degrees
\n" ); document.write( "90 degrees - 7 degrees = 83 degrees
\n" ); document.write( "tangent = opposite/adjacent = tangent 83 = bearing differential
\n" ); document.write( "opposite = distance from boat to shoreline
\n" ); document.write( "adjacent = 2.5 miles = reference distance
\n" ); document.write( "distance from shoreline to boat = 2.5 * tangent 83
\n" ); document.write( "20.36 rounded to 2 places miles
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