Answer:
For (45,165.02) Latitude and longitude is (45 0' 0",165 1' 12")
Hence latitude and longitude are 4 degrees 35' 59.94" and 2 degrees 47' 59.994 "
Step-by-step explanation:
Given:
The angular coordinates of the point on globe as (θ,∅)=(π/4,11π/12)
To find : longitude and latitude for this points:
Solution:
For finding this Longitude and latitude we should convert it into decimal degrees
Given that 1rad =57.295 deg.
we get for
θ=π/4
=3.142/4
=0.7855 *57.295
=45 degrees.
Now for φ=11π/12
=(11*3.142)/12=2.8801*57.295
=165.02 degrees
Now convert in longitude and latitude as ,
as degrees +min/60+seconds/3600
Now latitude =45 degrees
i.e. 45 degrees 0' 0"
And longitude as
165.02 degrees becomes
165 degrees 1' 12".
Hence For the angular co-ordinates (45,165.02)
Longitude and latitude is (45 0' 0",165 1' 12")
Now for the (4.6, 2.8)
we get using same
degrees+min/60+seconds/3600
=4 degrees 35' 59.94"
And for 2.8 means, (similar to clock analog )
=2 degrees 47' 59.94"
Hence latitude and longitude are 4 degrees 35' 59.94" and 2 degrees 47' 59.994 "
