Question
Smalltown, latitude 53.6 degrees N, lies directly north of Bigville, latitude 38.6 degrees N. Give the distance between the two cities. (Hint: The earth's radius is about 3,960 miles.)
This is a question similar to what will be on my test tomorrow. I'd really appreciate the help on how to figure this out.
The answer is 330 Pi or 1,036.7 miles.
This is a question similar to what will be on my test tomorrow. I'd really appreciate the help on how to figure this out.
The answer is 330 Pi or 1,036.7 miles.
Answers
Reiny
draw a 'great circle'
the two towns form a sector with an angle
of 15º (53.6-38.6 = 15)
15º = pi/12 radians
you want the arclength of that sector
arclength = radius x angle
= 3960(pi/12) = 330pi
the two towns form a sector with an angle
of 15º (53.6-38.6 = 15)
15º = pi/12 radians
you want the arclength of that sector
arclength = radius x angle
= 3960(pi/12) = 330pi
Anonymous
ggyu