Two cities in the western hemisphere lie approximately on the same meridian. Guatemala city has latitude of $15.5 ^ { \circ }$ N and Baton Rouge, Louisiana $30.5 ^ { \circ }$ N. Find the distance between these two cities. (The radius of the earth is $3960$ miles.)

Question

Two cities in the western hemisphere lie approximately on the same meridian. Guatemala city has latitude of $15.5 ^ { \circ }$  N and Baton Rouge, Louisiana $30.5 ^ { \circ }$ N. Find the distance between these two cities. (The radius of the earth is $3960$  miles.)

Quizplus · Accepted Answer

The Answer is

heta = 30.5 ^ { \circ } - 15.5 ^ { \circ } = 15 ^ { \circ } = 15 ^ { \circ } \left( \frac { \pi } { 180 ^ { \circ } } ight)

radians

= \frac { \pi } { 12 }

.

s = r heta = ( 3960 ) \left( \frac { \pi} { 12 } ight) = 330 \pi \approx 1036.7

miles.

Two Cities in the Western Hemisphere Lie Approximately on the Same