An-aeroplane-leaves-a-port-P-51-S-29-E-and-after-flying-7597-km-due-north-it-reached-another-port-R-calculate-the-i-Latitude-of-R-correct-to-the-nearest-degree-ii-Radius-of-parallel-of-latit

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Question Number 10227 by Tawakalitu ayo mi last updated on 30/Jan/17

$$\mathrm{An}\mathrm{aeroplane}\mathrm{leaves}\mathrm{a}\mathrm{port}\mathrm{P}(51°\mathrm{S},29°\mathrm{E})\mathrm{and}$$$$\mathrm{after}\mathrm{flying}7597\mathrm{km}\mathrm{due}\mathrm{north}\mathrm{it}\mathrm{reached}$$$$\mathrm{another}\mathrm{port}\mathrm{R}.\mathrm{calculate}\mathrm{the}.$$$$\left(\mathrm{i}\right)\mathrm{Latitude}\mathrm{of}\mathrm{R}\mathrm{correct}\mathrm{to}\mathrm{the}\mathrm{nearest}\mathrm{degree}$$$$\left(\mathrm{ii}\right)\mathrm{Radius}\mathrm{of}\mathrm{parallel}\mathrm{of}\mathrm{latitude}\mathrm{through}\mathrm{R}$$$$\mathrm{to}\mathrm{the}\mathrm{nearest}\mathrm{whole}\mathrm{number}.$$

Answered by mrW1 last updated on 30/Jan/17

$$RadiusofEarth=6371km$$$$\left(i\right)$$$$\frac{7597}{2\pi \times 6371}\times 360\approx 68°$$$$51°-68°=-17°$$$$\Rightarrow LatitudeofR:17°N$$$$\left(ii\right)$$$$6371\times \cos 17°\approx 6093km$$

Commented by Tawakalitu ayo mi last updated on 30/Jan/17

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}.$$

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