Asked Oct 22, 2019

The eye of a hurricane passes over Grand Bahama Island in a direction 60.0° north of west with a speed of 40.0 km/h. Three hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 26.0 km/h. How far from Grand Bahama is the hurricane 4.60 h after it passes over the island?


Expert Answer

Step 1

The figure for the problem is illustrated below,


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Step 2

The distance of the hurricane from the Grand Bahamas after 4.6 hrs is the line joining points O and B.

Let this distance be denoted as D.

Consider the large right angled triangle BPO

Step 3

The distances corresponding to lines AO and AB are calculated ...


Image Transcriptionclose

AO (41km/hr(3hr) 123km AB (26km/hr) (1.6hr -41.6km


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