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A Ship Travelling Due East Sights a Lighthouse At N76∘33′E\mathrm{N} 76^{\circ} 33^{\prime} \mathrm{E}

Question 65

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A ship travelling due east sights a lighthouse at N76∘33′E\mathrm{N} 76^{\circ} 33^{\prime} \mathrm{E} . After 2 hours, 48 minutes the ship reaches a rock that the map says is 35 km35 \mathrm{~km} due south of the lighthouse. How fast is the ship travelling, in km/h\mathrm{km} / \mathrm{h} ?

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