System of 3 non-linear equations in 3 unknowns (how-to-solve?)

[samsonite]

Wonderful solution, scidam! Just added the output of coords in degrees. Thank you very much, and cheers

# ---------- sist_3eq.py -----------
from math import pi, sin, tan, cos
from scipy.optimize import fsolve
 
def equations(x):
    rad = pi / 180;
    l1 = 150.210355; s1 = -38.913290; d1 = -11.185833;
    l2 = 180.308440; s2 = -14.878290; d2 =  14.545555;
    l3 = 223.495977; s3 =  20.492543; d3 =  -8.679444;
    l1 = l1 * rad; s1 = s1 * rad; t1 = tan(d1 * rad);
    l2 = l2 * rad; s2 = s2 * rad; t2 = tan(d2 * rad);
    l3 = l3 * rad; s3 = s3 * rad; t3 = tan(d3 * rad);
    return (sin(x[0]+s1)-tan(x[2]+l1)*(cos(x[0]+s1)* sin(x[1])- t1* cos(x[1])), 
            sin(x[0]+s2)-tan(x[2]+l2)*(cos(x[0]+s2)* sin(x[1])- t2* cos(x[1])), 
            sin(x[0]+s3)-tan(x[2]+l3)*(cos(x[0]+s3)* sin(x[1])- t3* cos(x[1]))) 
 
print(fsolve(equations, [10 * pi / 180, 50 * pi / 180, 0]))
a= fsolve(equations, [10 * pi / 180, 50 * pi / 180, 0])
print(a[0]*180/pi,a[1]*180/pi) # coords in degrees
# ------- OUTPUT ----------
# C:\Training>python sist_3eq.py
# [2.61799394e-01 6.45771810e-01 1.20245548e-08]
# 15.00000038215297 36.99999924200017
# -------------------------