Please solve in python language

2. The time it takes for a signal to travel from a GPS satellite to a receiver (e.g. in your smartphone) can be used to triangulate the receiver's position, (x,y,z) in Cartesian coordinates. The GPS signal from satellite i includes the coordinates of the satellite, (Xi,Yi,Zi) in Cartesian coordinates, and the satellite's time. The time difference ti between the receiver time and the satellite time is the sum of the time it took the signal to travel the distance from satellite to receiver tdist and any error in the receiver time terr : ti=tdist+terr The travel time is the distance traveled divided by the velocity of the signal (the speed of light c=299.792458km/ms) : ti=c(xXi)2+(yYi)2+(zZi)2+terr In standard form, (xXi)2+(yYi)2+(zZi)2[c(titerr)]2=0 There are four unknowns (x,y,z,terr), so four satellite signals are needed. Given the following four signals, find the four unknowns. Hint: There will be multiple solutions to the set of GPS equations, but only one will be on the surface of Earth. The distance from Earth's center is r=x2+y2+z2 and the surface is an average of 6371km from the center. Verify that your solution is near Earth's surface ( 100km). The location of the receiver can be converted from Cartesian (x,y,z) coordinates to latitude and longitude using the following equations: LatitudeLongitude=(2cos1(rz))180=(sign(y)2tan1(yx))180 Hint: The numpy functions are arccos(),arctan(), and sign()