(a) What are the similarities and differences between the lines of latitude and longitude? (b)...
(a) What are the similarities and differences between the lines of latitude and longitude?
(b) An international cricket match between The Gambia and India is scheduled to start in Banjul (longitude 16°W) at 9.00a.m local time on 26th June. Calculate the time and day that listeners will have to tune to their radios for the start of the commentary at (i) Bombay (74°E) (ii) Pittsburg (89°W).
Explanation
Similarities between the lines of latitude and longitude:
(i) Both latitude and longitude are used to locate position of places
(ii) Both are measured in degrees
(iii) Both are angular distance of a point on the earth's surf
| Lines of Latitudes | Lines of longitude |
(I) Lines of latitude run from West to East between one place to another. (ii) Lines of latitude are used to calculate distance between one place to another (iii) Lines of latitude cannot be used to calculate local time. (iv) The latitudinal extent of the globe is from 90°N and 90°S | - Lines of longitude run from North to South between one place and another. - Lines of longitude cannot be used to calculate distance between one place and another - Lines of longitude are used in calculating local time. - The longitudinal extent of the globe is from 180° E to 180°W |
(b)(i) Bombay (74°E)
(a) Find the longitude differences between Banjul and Bombay = (16°W and 74°E) = 74°E + 16°W = 90°
(b) Convert 90° to time. Note 15° = 1 hour
15° 6hrs
90° = 6 hours
(c) Since Bombay is east of Banjul, the 6 hours are added to the 9.00am. i.e 9.00am + 6 hours = 3.00p.m the day i.e 26th June. The listeners in Bombay will listen to commentary at 3.00pm on 26/6
(b) (ii) Pittsburg (80°W)
(a) Find the longitude difference between Banjul and Pittsburg = (80°W - 16°W) = 64°
(b) Convert 65° to time. Note 15° = 1 hr
15 4 hrs
64
60
4° x 4 mins = 16 minutes
Time difference = 4hrs 16 minutes
(c) Since Pittsburg is West of Banjul, the 4 hrs 16 mins are subtracted from 9.00a.m
i.e 9.00a.m - 4hrs 16 mins = 9.00
4.16
4.44 hours
The time and date listeners in Pittsburg will listen to the commentary is 4.44am the same day 26th June.