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The-distance-between-point-P-lat-65-S-long-25-E-and-Q-lat-65-S-long-X-on-the-earth-surface-along-the-parallel-of-latitute-is-2502-5-km-If-pi-22-2-and-earth-radius-is-6370-km-find-the-t




Question Number 24100 by tawa tawa last updated on 12/Nov/17
The distance between point  P(lat 65°S,  long 25°E) and Q(lat 65°S, long X)  on the earth surface along the parallel of latitute is  2502.5 km. If  π = ((22)/2)  and earth radius is  6370 km, find the two possible values of x.
$$\mathrm{The}\:\mathrm{distance}\:\mathrm{between}\:\mathrm{point}\:\:\mathrm{P}\left(\mathrm{lat}\:\mathrm{65}°\mathrm{S},\:\:\mathrm{long}\:\mathrm{25}°\mathrm{E}\right)\:\mathrm{and}\:\mathrm{Q}\left(\mathrm{lat}\:\mathrm{65}°\mathrm{S},\:\mathrm{long}\:\mathrm{X}\right) \\ $$$$\mathrm{on}\:\mathrm{the}\:\mathrm{earth}\:\mathrm{surface}\:\mathrm{along}\:\mathrm{the}\:\mathrm{parallel}\:\mathrm{of}\:\mathrm{latitute}\:\mathrm{is}\:\:\mathrm{2502}.\mathrm{5}\:\mathrm{km}.\:\mathrm{If}\:\:\pi\:=\:\frac{\mathrm{22}}{\mathrm{2}} \\ $$$$\mathrm{and}\:\mathrm{earth}\:\mathrm{radius}\:\mathrm{is}\:\:\mathrm{6370}\:\mathrm{km},\:\mathrm{find}\:\mathrm{the}\:\mathrm{two}\:\mathrm{possible}\:\mathrm{values}\:\mathrm{of}\:\mathrm{x}. \\ $$
Commented by tawa tawa last updated on 12/Nov/17
please help.
$$\mathrm{please}\:\mathrm{help}. \\ $$
Answered by ajfour last updated on 12/Nov/17
78.24°E and 28.24°W  . Is it ?
$$\mathrm{78}.\mathrm{24}°{E}\:{and}\:\mathrm{28}.\mathrm{24}°{W}\:\:.\:{Is}\:{it}\:? \\ $$
Commented by tawa tawa last updated on 12/Nov/17
Yes sir. please the workings with image. Thanks for your time
$$\mathrm{Yes}\:\mathrm{sir}.\:\mathrm{please}\:\mathrm{the}\:\mathrm{workings}\:\mathrm{with}\:\mathrm{image}.\:\mathrm{Thanks}\:\mathrm{for}\:\mathrm{your}\:\mathrm{time} \\ $$

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