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

question 75

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) \(\quad 0.62\) 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

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