April 1st, 2019, 03:02 PM  #1 
Senior Member Joined: Mar 2019 From: TTF area Posts: 177 Thanks: 1  A geometry time question
If a rescue craft is launched from Miami and can travel with a maximum speed of 35 knots, how long should it take to reach the crash site? Note: 1 knot = 1.852 km/hr. The approximate distance in this region for latitude of 1° = 111 km and longitude 1° = 100 km. Let's suppose the coordinates is (71,25) Miami is (−80,26). Have I solved it?? 13hrs 59m 33s??? Last edited by skipjack; April 1st, 2019 at 06:16 PM. 
April 1st, 2019, 03:15 PM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 3,092 Thanks: 1674 
assuming your coordinates are (longitude,latitude), I get about 10 second less time.

April 1st, 2019, 03:25 PM  #3 
Senior Member Joined: Mar 2019 From: TTF area Posts: 177 Thanks: 1 
Yeah they are longitude, latitude. What process did you use to solve I'm interested! if you could please reply thanks. I personally multiplied both longitude coordinates by 100 and the latitude by 111, getting 80x100, 71x100, 25x111, 26x111, then I put them into the square root (x2x1)squared + (y2y1)squared to get 907km, then I used the time = d/s to get my answer. Last edited by skipjack; April 2nd, 2019 at 02:03 PM. 
April 1st, 2019, 03:45 PM  #4 
Math Team Joined: Jul 2011 From: Texas Posts: 3,092 Thanks: 1674 
$t = \dfrac{\sqrt{900^2 + 111^2}}{35 \cdot 1.852} = 13.989... \, hrs$ $(0.989... \, hrs)(60 \, min/hr) = 59.388... \, min$ $(0.388... \, min)(60 \, sec/min) \approx 23.3 \, sec$ 13 hrs 59 min 23 sec 
April 1st, 2019, 03:47 PM  #5 
Senior Member Joined: Mar 2019 From: TTF area Posts: 177 Thanks: 1 
maybe my calculations are wrong ??
Last edited by helpmeddddd; April 1st, 2019 at 03:51 PM. 
April 1st, 2019, 03:51 PM  #6 
Math Team Joined: Jul 2011 From: Texas Posts: 3,092 Thanks: 1674  
April 1st, 2019, 03:54 PM  #7 
Senior Member Joined: Mar 2019 From: TTF area Posts: 177 Thanks: 1 
Yeah you are right is there any mathematical statement I can use to go alongside this? 
April 1st, 2019, 03:58 PM  #8 
Math Team Joined: Jul 2011 From: Texas Posts: 3,092 Thanks: 1674  
April 1st, 2019, 04:05 PM  #9 
Senior Member Joined: Mar 2019 From: TTF area Posts: 177 Thanks: 1 
Yeah, I don't know. Could you be please check I've correctly solved my other problem on another thread. I'll just put it in this box. question A plane's emergency beacon goes off, its approx position is at a place equidistant from Miami and San Juan and on altitude from Miami, in the Bermuda triangle. Locate where the plane has crashed M(−80,26), H(−65,32), S(−66,18). Last edited by skipjack; April 1st, 2019 at 06:02 PM. 
April 1st, 2019, 04:31 PM  #10  
Math Team Joined: Jul 2011 From: Texas Posts: 3,092 Thanks: 1674  Quote:
Last edited by skipjack; April 1st, 2019 at 06:03 PM.  

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geometry, question, time 
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