SOLUTION: A sailboat is headed east at 18 mph relative to the water. A current is moving the water south at 3 mph.
What is the angle of the path of the sailboat?
What is the sailboat’s sp
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Question 937769: A sailboat is headed east at 18 mph relative to the water. A current is moving the water south at 3 mph.
What is the angle of the path of the sailboat?
What is the sailboat’s speed?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
set up a right triangle:
a = 3
b = 18
h = sqrt( aa + bb )
h = sqrt( 3*3 + 18*18 )
h = 18.248287591
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use law of sines:
sinA/a = sinH/h
sinA/3 = sin(90)/18.248287591
sinA = 3*sin(90)/18.248287591
A = asin( 3*sin(90)/18.248287591 )
A = 8.45149853213
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answer:
angle of the path of the sailboat = 8.45 degrees south of east
the sailboat’s speed = 18.25 mph
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