" on her birthday, which happens to fall on september 21st, amelia is flying due east. as the sun rises and begins to bathe her elegant craft in golden light, the radio crackles and an announcer informs her- in a british accent, of course-that it is 2:00 pm greenwich time. hour after hour amelia maintains her course, cruising at an average speed of 105 miles per hour. all day long she sees nothing but water down below and when the sun sets she notes that only ten hours have elapsed since sunrise. along what line of latitude has amelia been traveling ? "
Are we to assume from the date that day and night are both equal to 12 hours?
Chuck - presumably this must be the southern hemisphere as she can only see water below?
What do we take the radius of the earth to be? 4000 miles?
From the question day is 10 hours and night is 14 hours at the time of the autumn equinox. The question is: on which degree of latitude would that happen in the Southern hemisphere. I'm afraid i don't know.
yes jake but she's over the sea the whole time and that must be south, pretty well close to the antarctic circle i'd say which is approx 57.5 degrees south.
2pm gmt @ 15 degrees per hour = 120degrees west. BST is irrelevant in this case, I arrive at 60 degrees ( give or take a few minutes|)independantly. It should also be considerered that the altitude of the plane has not been given, this would make a significant difference to the times of sunrise and sunset so I am assuming that this additional complication which I believe is a tangential function has been ignored so I'm assuming that the plane is flying at sea level.
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