SOLUTION: This is a Pre-Calculus problem involving vectors. A sailboat is headed east at 18 mph relative to the water. A current is moving the water south at 3 mph. a. What is the angle of

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Question 582008: This is a Pre-Calculus problem involving vectors.
A sailboat is headed east at 18 mph relative to the water. A current is moving the water south at 3 mph.
a. What is the angle of the path of the sailboat?
b. What is the sailboat's speed with respect to the ocean floor?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A sailboat is headed east at 18 mph relative to the water. A current is moving the water south at 3 mph.
a. What is the angle of the path of the sailboat?
tan(A) = 3/18
Angle =~ 9.46 degs
--> a path of 99.46 degs (090 or 90 degs is East)
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b. What is the sailboat's speed with respect to the ocean floor?
r%5E2+=+18%5E2+%2B+3%5E2+=+333
r =~ 18.25 mi/hr