Respuesta :
Answer:
Explanation:
Here, geographic coordinates of
St. John's (NL) is latit
The angular distance is 100o
To covert it into radians,
1o = pie/ 180o = 0. 0174444 radians
therefore,
100o =?
multiply 100 with 0. 0174444 we get,
= 1. 7444 radians
Now we have a formula to calculate the distance between these two cities.
Let y is the distance between two cities
Therefore,
Y = (x/360) x 2 x pie x R
Here,
x = angular distance between the cities.
pie = 3. 14
R= radius of earth = 6371km
Hence, by putting these values in the above formula we get,
Y = (100/360) x 2 x 3. 14 x 6371
= (0. 277777) x 40009. 88
= 11113. 82 km
Answer:
θ = 100°
, θ = 1. 7444 radians
x= 11113. 82 km
Explanation:
The geographic coordinates of St. John's (NL) and Papeete (Tahiti) given as
St. John's (NL) is latitude :47°33′41″N and longitude: 52°42′45″W
Papeete (Tahiti) is latitude : 17°32′06″S and longitude : 149°34′11″W
Now convert it into degrees
St. John's longitude is : 52°42′ 45″ W :
: 52° + 42°/60 + 45°/ 3600
: 52° + 0. 7° + 0. 0125°
: 52. 7125°
Papeete longitude is : 149°34′11″W:
: 149° + 34°/60 + 11°/3600
: 149° + 0. 5666° + 3. 0555°
: 152. 6221°
Let θ is the angular distance,
Therefore θ = the difference between the longitude
θ= 152. 6221° - 52. 7125°
θ = 100°
The angular distance is 100°.
Now convert covert it into radians,
1° =π / 180° = 0. 0174444 radians
So
100° = 0. 0174444 x 100= 1. 7444 radians
θ = 1. 7444 radians
Distance between these two cities.
Let x is the distance between two cities given as
x = ( θ/360) x 2 x π x R
θ = angular distance between the cities.
R= Radius of earth = 6371 km
π = 3. 14
Now, by putting these values in the above formula ,
x = (100/360) x 2 x 3. 14 x 6371
x= (0. 277777) x 40009. 88
x= 11113. 82 km
