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(a)

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Nadia $\"\"$ s rowing can be represented by the vector $\"\"$ and the current can be represented by the vector $\"\"$ .

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$\"\"$

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Add the vectors representing $\"\"$ and $\"\"$ to find the resultant vector, $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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The speed at which Nadia is traveling is the magnitude of $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Therefore, Nadia traveling at about $\"\"$ miles per hour.

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(b)

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Find $\"\"$ by constructing a right triangle with the given vectors and using the tangent ratio.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Therefore, Nadia traveling at an angle of about $\"\"$ with respect to the shore.

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Nadia traveling at about $\"\"$ miles per hour.

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Nadia traveling at an angle of about $\"\"$ with respect to the shore.