Question

The latitude of point P shown in the drawing of Earth at the right is the measure of angle EOP. The radius of Earth is about 4000 miles. The latitude of Houston is 29.8 degrees north. How far is it from the equator?

Answer 1

@Zarkon @SolomonZelman @mathmale @cwrw238

Answer 2

@surjithayer

Answer 3

@iPwnBunnies

Answer 4

@hartnn

Answer 5

do you know how to find the arc length?

Answer 6

\[s=r \theta \]

Answer 7

there you go. what is your question?

Answer 8

the answer in my answer key is 2100? How did they get that?

Answer 9

I'm getting 119200...

Answer 10

what are the units?

Answer 11

the radius of earth is 4000 miles, the latitude of houston is 29.8 degrees north.

Answer 12

the units in the answer i mean. or is it not specific about units.

Answer 13

2100 miles

Answer 14

so miles

Answer 15

to get that answer you would have to have an angle of roughly .5 degrees.

Answer 16

but i googled it. and houston is around 2100 miles from the equator. hmmm

Answer 17

well this is confusing :/

Answer 18

there is a detail about latitude that were missing. i dont know a lot about coordinates though.

Answer 19

@Preetha could you help us out?

Answer 20

For arc length you must use Radians .... convert the 29.8 degrees to radians

--> 29.8 * (pi/180)

Answer 21

doh!

Answer 22

yep. thats roughly .52 radians

Answer 23

need another sig fig though for the real answer

Answer 24

I still don't get the answer... I get 2040.

Answer 25

actually I get 2080, looks like I'll never get the rigth answer for this one, whatever.

Answer 26

it says round to 2 sig figs.