Pick two if the following and show your substitution and wor

Pick two if the following and show your substitution and work in order to receive credit Work neatly on another sheet of lined paper and label the problems you chose. Two dries have nearly the same longitude of 90degree West. The latitude of the first city is 22degree06\', and the latitude of the second city is 40degree49\'. Approximate the distance between the cities if the average radius of the Earth is 3955 miles. Round your final answer to the nearest whole mile.

Solution

angular separation is 40 degrees 49 min - 22 degrees 06 minuites. = 18 degrees 43 mintes
18° 43\' 0\"
= 18° + 43\'/60 + 0\"/3600
= 18.71667°
Circumference of a circle = 2 x pi x r
length of arc of circle = 2 x pi x r x angle/360
pi = 3.1414......
r = 3955 miles
angle = 18.71667°

Hence
Length of arc(distance between cities) =
2 x 3.1414 x 3955 x 18.71667°/360 =
1291.89 miles
which can be rounded to 1292 miles