A ferry transports tourists among three islands. It sats from the first island to the second island, 5.89 km away, in a direction 37.0° north of east. It then sails from the second island to the third island in a direction 74.5 west of north. Finally, it returns to the first island, salling in a direction 28.0 east of south (a) Calculate the distance between the second and third islands. (b) Calculate the distance between the first and third islands

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A ferry transports tourists among three islands. It sails from the first island to the second island, 5.89 km away, in a direction 37.0 north of east. It then sails from the second island
to the third island in a direction 74.5° west of north. Finally, it returns to the first island, sailing in a direction 28.0" east of south
(a) Calculate the distance between the second and third islands.
km
(b) Calculate the distance between the first and third islands.
km
Transcribed Image Text:A ferry transports tourists among three islands. It sails from the first island to the second island, 5.89 km away, in a direction 37.0 north of east. It then sails from the second island to the third island in a direction 74.5° west of north. Finally, it returns to the first island, sailing in a direction 28.0" east of south (a) Calculate the distance between the second and third islands. km (b) Calculate the distance between the first and third islands. km
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