Asked by Nada
                A sail boat on lake Huron  leaves Southampton and sails 20degrees west of north of 20km. At the same time, a fishing boat leaves Southampton and sails 30degrees west of south for 15 km. At this point, hot far apart are the boats, to the nearest km? ( the answer is 4139 km, but I need to know the method to understand how to get that answer) 
            
            
        Answers
                    Answered by
            Reiny
            
    draw direction lines  NS-EW at Southampton.
draw the paths of the two boats, the angle between them should be 145°
So this time it does look like the Cosine Law
x^2 = 20^2 + 15^2 - 2(20)(15)cos 145
= 400 + 225 + 491.491
= 1116.49
x = √1116.49
= 33.41 km
Your answer of 4139 km is "absurd" , I have been to Southampton on Lake Huron and it is only about 120 km across the lake to Michigan.
    
draw the paths of the two boats, the angle between them should be 145°
So this time it does look like the Cosine Law
x^2 = 20^2 + 15^2 - 2(20)(15)cos 145
= 400 + 225 + 491.491
= 1116.49
x = √1116.49
= 33.41 km
Your answer of 4139 km is "absurd" , I have been to Southampton on Lake Huron and it is only about 120 km across the lake to Michigan.
                    Answered by
            Nada
            
    Srry but how did u get 145?
    
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