A Woman at a Point a on the Shore of a Circular

question 42

Multiple Choice

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) \(0.62\) 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

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