As it passes over Grand Bahama Island, the eye of a hurricane is moving in a dir
ID: 583133 • Letter: A
Question
As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 63.0 degree north of west with a speed of 40.4 km/h. Three hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 24.2 km/h. How far from Grand Bahama is the eye 4.70 h after it passes over the island? A ferryboat transports tourists among three islands. It sails from the first island to the second island, 5.32 km away, in a direction 37.0 degree north of east. It then sails from the second island to the third island in a direction 58.0 degree west of north. Finally, it returns to the first island, sailing in a direction 28.0 degree east of south. Calculate the distance between the second and third islands. Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. Calculate the distance between the first and third islands. Your response differs from the correct answer by more than 10%. Double check your calculations.Explanation / Answer
Horizontal Distance travelled, = 40.4 * cos(63) km/h * 3h
Horizontal Distance travelled, = 55.02 km
Vertical Distance travelled, = 40.4 * sin(63) km/h * 3h + 24.2 km/h * 1.7 h
Vertical Distance travelled, = 149.13 km
Net Distance travelled, = sqrt(55.02^2 + 149.13^2) km
Net Distance travelled, = 158.96 km
Distance of eye, = 158.96 km
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