Question 368359
Let East be positive {{{x}}}.
Let North be positive {{{y}}}.
Measure angles from the x-axis counterclockwise.
({{{x}}},{{{y}}})=({{{0}}},{{{300}}})+{{{75}}}({{{cos(90-15)}}},{{{sin(90-15)}}})
({{{x}}},{{{y}}})=({{{0}}},{{{300}}})+({{{19.4}}},{{{72.4}}})
({{{x}}},{{{y}}})=({{{19.4}}},{{{372.4}}})
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Starting point is ({{{0}}},{{{0}}}).
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Use the distance formula,
{{{D^2=(x-0)^2+(y-0)^2}}}
{{{D^2=(19.4)^2+(372.4)^2}}}
{{{D^2=376.36+138681.76}}}
{{{highlight(D=372.9)}}}miles