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Lesson 4, Topic 5
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# Longitude & Time

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Recall:

â†’   The Earth rotates about its axis to make complete rotation in 24hours a whole day.

â†’Â  This implies that 1-hour interval is equivalent to 15Â° interval between two meridians

e.g. Ghana and Cameroon

â†’ Â  That is 4 minutes is equivalent 1Â° interval.

â†’   Places to the East gain time, while places to the West loses time.

Example 1

X(0o, 35oE) and Y(0o, xoE) are two places on the surface of the Earth such that Y is due  East of X. If the difference in the local times at X and Y is 2 hours 40 minutes, find xo.

Solution:

Recall 2hours 40minutes = 160 minutes

i.e. 160 minutes â‰¡yÂ°

4 minutes â‰¡1Â°

yÂ° = 1 Ã— $$\frac{160}{4}$$Â

yÂ° = 40Â°

Since Y is due East of x, i.e. Y gains time rather x.

i.e. Longitude of Y = 35 + 40 =75oE

i.e. xo = 75oE

Example 2

Points A and B are two places on Latitude 57oN. The distance between them is 6,671Km. If B is due East of A, find the:

(i) Local time at A, if the local time at B is 6:30am

(ii) Local time at B if the local time at A is 10:45pm.

Solution

(i) Distance $$\scriptsize AB = 6671 = \normalsize \frac{Î¸}{360} \scriptsize \; \times \; 2 \; \times \; \normalsize \frac{22}{7} \scriptsize \; \times \; 6400$$

= Î¸ Ã— 60.8612

i.e.Â  Â  Î¸ = 109.609

Î¸ = 109.6Â°

109.6o â‰¡ $$\frac{109.6}{15}$$hours

i.e. 109.6 â‰¡ 7.3 hours

If local time is 6:30am at B, then A will lose time for 7 hours 18 minutes.

i.e. at A = 11:12pm of previous day.

(ii)Â  Local time at A = 10:45pm, then B will gain time for 7hours 18minutes.

i.e. local time at B = 6:03am of the next day.

error: