Kate and William were encouraged to fire off a few arrows after watching a display of the unique version of the sport, in which archers shoot at tiny targets from about 100 yards away.
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Watching along the sidelines were children and families – and some nonchalant dogs who lay in the field under the arrow's flight path.
At the other end, a group of men who spotted hits and collected the arrows, were even more nonchalant – seemingly unperturbed by the threat of being struck by a speeding missile.
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Perhaps they should have worried about the royal guests though. When William notched his first arrow (from more than half-way down the field) he told his hosts, "It could go anywhere. Seriously!"
He then took aim and the arrow appeared to fall short. "At least the guys ducked," he said. He laughed, and tried again – and this one went higher into the bank. "Did the clear the bank?" he said. "Can you check there's no one on the bridge. I don't want to cause a car crash."
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Kate was then offered a chance to try. She asked William if it was okay. "I think it will be fine," he replied.
Joe Giddens / PA Wire
Her effort was so short that she grimaced and called out "Oh, sorry" to the men (and possibly the spectators) toward the end of the field.
The intrepid couple's next activity was on a neighboring field, where women were playing a game of darts, throwing fat projectiles at a target propped up in ground and surrounded by a little twiggy hedge.
Kate asked their host, the King's brother, Prince Jiyel Ugyen Wanchuck, "Is this one easier?" William's two attempts improved – from six feet to two feet away – while Kate seemed to enjoy her throws. The women of Bhutan don't have much to fear from the royal couple, as hers fell well short too.
Kate and William, who had left King Jigme and Queen Jetsun for the afternoon, begun their time at the Changlimithang Stadium, by taking tea under a covered dais, with the prince.
Then, they headed across the path (the arrows had mercifully been called to a halt) and met some children, going along the line waving and crouching down to talk to them.