A bird flies from a tree P on a bearing of N60º E to a building, Q, a distance of 200 km. It then changes course and flies to another tree R on a bearing of S30ºE. Tree R is directly east of tree P. Calculate the distance of the building to tree R.
Tan \(\theta\) = \(\frac{\text{0pp}}{\text{Adj}}\)
Tan \(\theta\) = \(\frac{200}{\text{x}}\)
x = \(\frac{200}{\text{tan} 60}\)
x = \(\frac{200}{\sqrt{3}}\)
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