Preheat the oven to 350°F and line a baking sheet with parchment paper.
In a mixing bowl, stir together the flour, sugar, baking powder, and salt.
Add the butter, eggs, and vanilla extract. Mix until a stiff dough forms.
Divide the dough into four equal pieces. Roll each piece into a long, thin bone shape with slightly thicker ends.
Place the shapes on the prepared baking sheet and bake for 25 minutes until lightly golden.
Remove from the oven and let cool for 10 minutes. Dip both ends of each cooled cookie into the melted white chocolate. Place on a wire rack to set.