Two hikers start from the same point at the same time. One hiker walks due north at a speed of 5 km/hr 5\text{ km/hr} , while the other walks in the northwest direction ( 45 ∘ 45^{\circ} north of west) at a speed of 4 km/hr \text{4 km/hr} . Find the distance between the hikers and the rate at which this distance is changing after 2 2 hours. Round the answers to two decimal places. (Hint: Use the Law of Cosines.)

7.13 k m ⁡ 7.13\operatorname{\mathrm{km}} 7.13 km ; 3.57 km/hr 3.57\text{ km/hr}

7.13 k m ⁡ 7.13\operatorname{\mathrm{km}} 7.13 km ; 11.50 km/hr 11.50\text{ km/hr}

11.50 km 11.50\text{ km} ; 7.13 k m ⁡ 7.13\operatorname{\mathrm{km}} 7.13 km /hr \text{/hr}

11.50 km 11.50\text{ km} 11.50 km ; 3.57 km/hr 3.57\text{ km/hr}

Two hikers start from the same point at the same time. One hiker ...

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