import math
import random
from turtle import Turtle


def draw_turtle_line(turtle, start: (float,float), end: (float, float)):
    turtle.penup()
    turtle.goto(start[0], start[1])
    turtle.pendown()
    turtle.goto(end[0], end[1])

def draw_branch(turtle, point: (float, float), angle: float, length: float):
    if length > 10:
        x1 = round(point[0] - math.sin(angle) * length)
        y1 = round(point[1] + math.cos(angle) * length)
        draw_turtle_line(turtle, point, (x1, y1))

        bend_angle = math.radians(random.uniform(-10, 10))
        branch_angle = math.radians(random.uniform(-40, 40))
        draw_branch(turtle,(x1, y1), bend_angle - branch_angle, length *
                    random.uniform(0.6, 0.8))
        draw_branch(turtle,(x1, y1), bend_angle + branch_angle, length *
                    random.uniform(0.6, 0.8))

sophia = Turtle()
draw_branch(sophia, (0, 0), 0.0 ,100)

sophia.screen.mainloop()