A ferry boat transports tourists among three islands. It sails from the first island to the second island, 4.42 km away, in a direction 37.0° north of

Kyran Hudson

Kyran Hudson

Answered question

2021-02-14

A ferry boat transports tourists among three islands. It sails from the first island to the second island, 4.42 km away, in a direction 37.0° north of east. It then sails from the second island to the third island in a direction 80.5° 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.

Answer & Explanation

Demi-Leigh Barrera

Demi-Leigh Barrera

Skilled2021-02-15Added 97 answers

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Simple geometry using complementary and supplementary angles provide the angle measurements in the diagram above. Now just use the law of sines to find the lengths of the other sides:
4.42sin(52.2)=xsin(28+55)=ysin(9.5+37)
where x is the distance for part (a) and y for part (b)

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