A ship heads due north for x miles, then turns 25° east of north and travels for another y miles. Which expression represents the distance the ship is from the original starting point?

Mathematics · College · Thu Feb 04 2021

Answered on

According to question, the expression for the distance of the ship from the origin will be given by cosine rule:
c^2=a^2+b^2-2ab Cos C

here,
c=distance from the origin
a=x, b=y, C=180-25=155
so,
c^2=x^2+y^2-2xycos155
c^2=x^2+y^2-2xycos155
c=√x^2+y^2-2xycos155)

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