SOLUTION: A woman walks 200 yards west along a straight shoreline and then swims 50 yards north into the ocean on a line that is perpendicular to the shoreline. Using her starting point as t

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: A woman walks 200 yards west along a straight shoreline and then swims 50 yards north into the ocean on a line that is perpendicular to the shoreline. Using her starting point as t      Log On


   

Question 936566: A woman walks 200 yards west along a straight shoreline and then swims 50 yards north into the ocean on a line that is perpendicular to the shoreline. Using her starting point as the pole and the east direction as the polar axis, give her current position in polar coordinates. Round the coordinates to the nearest hundredth. Express angle in degrees.
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
tanA = 50/200
A = arctan( 50/200 )
A = 14.0362434679
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theta = 180 - A
theta = 180 - 14.0362434679
theta = 165.963756532 degrees
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r = sqrt( 50*50 + 200*200 )
r = 206.155281281 yards
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answer:
p = (206.16 yards, 165.96 degrees)
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