Question 1081497
(a)
The angle that Pat's line of sight
makes with the horizon is also {{{ 9 }}} degrees
If {{{ d }}} = distance from the ship to the shore, then
{{{ tan( 9 ) = 380/d }}}
{{{ .1584 = 380/d }}}
{{{ d = 380/.1584 }}}
{{{ d = 2399.23 }}}
The ship is 2,399.23 meters from the shore
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(b)
For the 2nd ship:
{{{ tan(5)  = 380/d[2] }}}
{{{ .0875 = 380/d[2] }}}
{{{ d[2] = 380/.0875 }}}
{{{ d[2] = 4343.42 }}}
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{{{ d[2] - d = 4343.42 - 2399.23 }}}
{{{ d[2] - d = 1944.19 }}}
The distance between the ships is 1,944.19 meters