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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