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Two ships leave an island at the same time. One of them travels north-west at an average speed of 10.5 km/h while the other travels at an average speed of 14 km/h on a bearing of 280ᐤ. How far apart are these ships after 2 hours?

 Feb 17, 2021
 #1
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Northwest is 315o

 

Start at oigin 0,0    find components of north and west for each

 

A    2 hours          2 * 10.5 * sin 315  =14.85  W

                             2 * 10.5 * cos 315 = 14.85 N

 

B  2 hours             28 sin 280 = 27.57 W

                              28 cos 280 = 4.86 N     

 

Ship A is   |14.85 - 4.86| = 9.99   N-S   km

  and          |14.85 - 27.57|   = 12.72   W-E   km       of ship B         Pythag theorem    sqrt (12.72^2 + 9.99^2) = 16.17 km  apart

 

(I hope I did that correctly! cheeky)

 Feb 17, 2021

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