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°N, are 2234 km apart.
A)70°N
B)20°N
C)50°N
D)60°N

Question

Quizplus · Accepted Answer

The distance between two points on the same meridian (north-south line) can be calculated using the formula $distance = \pi/180 \times radius \times |latitude_1 - latitude_2|$, where the radius of the Earth is 6400 km. Given that Austin is at 30°N and the distance between Austin and Winnipeg is 2234 km, we can set up the equation $2234 = \pi/180 \times 6400 \times |latitude - 30|$. Solving for latitude gives us the latitude of Winnipeg as 50°N.

Assume That the Cities Lie on the Same North-South Line