Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.
-Find the latitude of Winnipeg, Canada if Winnipeg and Austin, TX, $30 ^ { \circ } \mathrm { N }$, are $2234 \mathrm {~km}$ apart.
A) $50 ^ { \circ } \mathrm { N }$
B) $20 ^ { \circ } \mathrm { N }$
C) $70 ^ { \circ } \mathrm { N }$
D) $60 ^ { \circ } \mathrm { N }$

Question

Quizplus · Accepted Answer

The distance between two latitudes is proportional to the difference in their angles from the Earth's center. Since 1 degree of latitude is approximately 111 km (the circumference of the Earth is about 40,000 km, and there are 360 degrees in a circle), the difference in latitude between Austin and Winnipeg can be found by dividing the distance by the distance per degree: $2234 \, \text{km} \div 111 \, \text{km/degree} = 20.126 \, \text{degrees}$. Adding this to Austin's latitude of $30^\circ \, \text{N}$ gives Winnipeg's latitude as approximately $50^\circ \, \text{N}$.

Assume That the Cities Lie on the Same North-South Line 30∘N30 ^ { \circ } \mathrm { N }30∘N

Assume That the Cities Lie on the Same North-South Line $30 ^ { \circ } \mathrm { N }$