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A Woman at a Point AA On the Shore of a Circular Lake with Radius

Question 72

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A woman at a point AA on the shore of a circular lake with radius 4mi4 \mathrm { mi } wants to arrive at the point CC diametrically opposite on the other side of the lake in the shortest possible time. She can walk at the rate of 6mi/h6 \mathrm { mi } / \mathrm { h } and row a boat at 2mi/h2 \mathrm { mi } / \mathrm { h } . How should she proceed? (Find θ\theta ) . Round the result, if necessary, to the nearest hundredth.
 A woman at a point  A  on the shore of a circular lake with radius  4 \mathrm { mi }  wants to arrive at the point  C  diametrically opposite on the other side of the lake in the shortest possible time. She can walk at the rate of  6 \mathrm { mi } / \mathrm { h }  and row a boat at  2 \mathrm { mi } / \mathrm { h } . How should she proceed? (Find  \theta  ) . Round the result, if necessary, to the nearest hundredth.    A)   \quad 0.62  radians B)   0.44  radians C)   0.46  radians D)  She should walk around the lake from point A to point C. E)  She should row from point A to point  C  radians


A) 0.62\quad 0.62 radians
B) 0.440.44 radians
C) 0.460.46 radians
D) She should walk around the lake from point A to point C.
E) She should row from point A to point CC radians

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