There are two sign posts A and B on the edge of the road. A is 400 m to the west of b. A tree is on a bearing of 060° from A and a bearing of 330° from B. Calculate the shortest distance of the tree from the edge of the road.

Answer 1

Draw a diagram. You have a 30-60-90 triangle, with the tree at the right angle. You want the altitude from the tree to the road.

The distance of the tree from B is 200
The distance of the tree from A is 200√3

So, h = 100√3

Answer 2

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