Using cosine rule, the distance of the ship from its original position is 69.31 miles.
What is cosine rule?
In trigonometry, the Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}[/tex] where [tex]\gamma[/tex] is the angle opposite c.
In triangle ABC,
[tex]AC = \sqrt{AB^{2}+BC^{2}-2(AB)(BC)(cos\angle CBA) }[/tex]
[tex]AC = \sqrt{40^{2}+35^{2} -2(40)(35)cos(135) }[/tex]
AC = 69.31 miles
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