In a treasure hunt, Kabir follows three clues: walk $10\ \text{m}$ east, then $6\ \text{m}$ north, then $8\ \text{m}$ in the direction $30^\circ$ south of west, as the figure shows. How far is the treasure from where he started?

Fig. 1: A path of three arrows: 10 m east, 6 m north, then 8 m at 30 degrees south of west, ending at the treasure. A dotted line with a question mark joins the start to the treasure.