SOLUTION: Q.3 Alexa and Luke left the dock from the same point in two separate boats to place markers for a boat race. Alexa rowed 85 m and Luke rowed 102 m to place their markers. Find the

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Question 1173416: Q.3 Alexa and Luke left the dock from the same point in two separate boats to place markers for a boat
race. Alexa rowed 85 m and Luke rowed 102 m to place their markers. Find the angle in between their
two paths, given that the distance between the two markers is 127 m
Answer by ikleyn(52812)   (Show Source): You can put this solution on YOUR website!
.

You are given two sides of the triangle a= 85 m  and  b= 102 m,

and the third side  c= 127 m opposite to the angle under consideration.


You need to find the angle   between the sides  "a"  and  "b".


Use the Cosine law 


    c^2 = .


From this formula,  find  


     =  =  = -0.08651.


Then   = arccos(-0.08651) = 1.6574 radians = 95 degrees (approximately).


ANSWER.  The angle is about 95 degrees.

Solved.



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