My Math Forum  

Go Back   My Math Forum > High School Math Forum > Geometry

Geometry Geometry Math Forum


Thanks Tree1Thanks
Reply
 
LinkBack Thread Tools Display Modes
April 1st, 2019, 02:02 PM   #1
Member
 
Joined: Mar 2019
From: TTF area

Posts: 83
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 05:16 PM.
helpmeddddd is offline  
 
April 1st, 2019, 02:15 PM   #2
Math Team
 
skeeter's Avatar
 
Joined: Jul 2011
From: Texas

Posts: 2,941
Thanks: 1545

assuming your coordinates are (longitude,latitude), I get about 10 second less time.
Thanks from helpmeddddd
skeeter is offline  
April 1st, 2019, 02:25 PM   #3
Member
 
Joined: Mar 2019
From: TTF area

Posts: 83
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 (x2-x1)squared + (y2-y1)squared to get 907km, then I used the time = d/s to get my answer.

Last edited by skipjack; April 2nd, 2019 at 01:03 PM.
helpmeddddd is offline  
April 1st, 2019, 02:45 PM   #4
Math Team
 
skeeter's Avatar
 
Joined: Jul 2011
From: Texas

Posts: 2,941
Thanks: 1545

$t = \dfrac{\sqrt{900^2 + 111^2}}{35 \cdot 1.852} = 13.989... \, hrs$

$(0.989... \, hrs)(60 \, min/hr) = 59.388... \, min$

$(0.388... \, min)(60 \, sec/min) \approx 23.3 \, sec$

13 hrs 59 min 23 sec
skeeter is offline  
April 1st, 2019, 02:47 PM   #5
Member
 
Joined: Mar 2019
From: TTF area

Posts: 83
Thanks: 1

maybe my calculations are wrong ??

Last edited by helpmeddddd; April 1st, 2019 at 02:51 PM.
helpmeddddd is offline  
April 1st, 2019, 02:51 PM   #6
Math Team
 
skeeter's Avatar
 
Joined: Jul 2011
From: Texas

Posts: 2,941
Thanks: 1545

Quote:
Originally Posted by helpmeddddd View Post
I see you are multiplying by knots (35) whereas I'm multiplying by 64.82km/hr
1 kt = 1.852 km/hr $\implies$ 35 kts = 35(1.852) km/hr = 64.82 km/hr

same same
skeeter is offline  
April 1st, 2019, 02:54 PM   #7
Member
 
Joined: Mar 2019
From: TTF area

Posts: 83
Thanks: 1

Yeah you are right

is there any mathematical statement I can use to go alongside this?
helpmeddddd is offline  
April 1st, 2019, 02:58 PM   #8
Math Team
 
skeeter's Avatar
 
Joined: Jul 2011
From: Texas

Posts: 2,941
Thanks: 1545

Quote:
Originally Posted by helpmeddddd View Post
Yeah you are right

is there any mathematical statement I can use to go alongside this?
what do you mean? it's just a problem involving $time = \dfrac{distance}{speed}$ with a couple of unit conversions
skeeter is offline  
April 1st, 2019, 03:05 PM   #9
Member
 
Joined: Mar 2019
From: TTF area

Posts: 83
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 05:02 PM.
helpmeddddd is offline  
April 1st, 2019, 03:31 PM   #10
Math Team
 
skeeter's Avatar
 
Joined: Jul 2011
From: Texas

Posts: 2,941
Thanks: 1545

Quote:
Originally Posted by helpmeddddd View Post
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).
M is probably Miami, S is probably San Juan ... what does H represent?

Last edited by skipjack; April 1st, 2019 at 05:03 PM.
skeeter is offline  
Reply

  My Math Forum > High School Math Forum > Geometry

Tags
geometry, question, time



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
time question...PLEASE HELP ron246 Trigonometry 1 May 20th, 2014 09:07 PM
Time / Percentage Question frogboxer Elementary Math 1 July 8th, 2013 07:20 AM
Probably the simplest question of all time. sterces Elementary Math 4 September 7th, 2010 11:53 AM
physics time question Darpa.Chief Physics 1 April 16th, 2010 12:57 PM
HELLO, anybody have time to do statistics question or.... peterle1 Probability and Statistics 1 February 27th, 2010 05:02 PM





Copyright © 2019 My Math Forum. All rights reserved.