Two places on the same meridian have latitudes 10 degree south and 53 degree north. What is their distance apart measured along the meridian?(radius of the earth R=6400km,pi=22/7)
To calculate the distance between two points along the same meridian on the Earth's surface, you can use the formula:
Distance = Radius of the Earth x Difference in Latitude
Given that the radius of the Earth is 6400 km and the difference in latitudes is (53 - (-10)) = 63 degrees, we can proceed to calculate the distance.
Distance = 6400 km x 63 degrees
To calculate the distance in kilometers, we need to convert the degrees to radians, as the trigonometric functions in the formula require radian values.
To convert degrees to radians, we use the following formula:
Radian = (pi/180) x Degree
Let's calculate the value in radians:
63 degrees in radians = (22/7) x (63/180)
Now, we can substitute this value into the distance formula:
Distance = 6400 km x (22/7) x (63/180) radians
Simplifying:
Distance = 6400 km x (22/7) x (63/180)
Calculating this expression should give you the final distance between the two points along the meridian.