Answer:
a) circumference of great circle=40212.4km
b) circumference of latutude circle=40212.4cos kilometers
c)The latitude circle is at an angle of 84.9°
d)Circumference of equator=40212.4km
Step-by-step explanation:
Refer to the figure shown below, we are given that earth has been charted with vertical and horizontal line and horizontal lines are called latitude lines.
So every horizontal line corresponds to a circle.
So the great circle will have radius equal to earth radius.
a)we are given with earth radius=6400km.
Hence circumference of a great circle= 2πX6400=40212.4km
b)At a latitude with angle x=, the circumference of latitude circle =
c)If a latitude circle has a circumference of about 3593km,
then
=84.9°
Hence the latitude circle is at an angle of 84.9°
d) At equator angle is 0.
Hence circumference of equator=40212.4cos(0)=40212.4km
