Question 1196490
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A boat travels 200 km straight course at an angle 22^o due east of north. 
It then changes course by moving 80 km north before reaching its 
destination. Calculate the resultant displacement of the airplane.
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A boat or the airplane ?


Or both ?



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<U>comment from student</U> : the boat, thank you.



<U>My response</U> : You have a triangle with two side lengths given as 200 km and 80 km 
and the angle between them of 180° - 22° = 158°.


Use the cosine law formula to get the length of the third side of the triangle.


It will give the answer to you.


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On the Cosine law, &nbsp;see the lessons


&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF= http://www.algebra.com/algebra/homework/Trigonometry-basics/Proof-of-the-Law-of-Cosines-revisited.lesson> Proof_of_the_Law_of_Cosines_Revisited</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF = http://www.algebra.com/algebra/homework/Trigonometry-basics/Solve-triangles-using-Law-of-Cosines.lesson> Solve triangles using Law of Cosines</A>


in this site.


In addition to the theory, &nbsp;clearly explained, &nbsp;you will find there many solved problems, &nbsp;that are your &nbsp;TEMPLATES.



Consider these lessons as your handbook, &nbsp;textbook, &nbsp;guidelines, &nbsp;tutorials and &nbsp;(free of charge) &nbsp;home teacher.



Happy learning &nbsp;(!)