There is a small island in between a river 100 metres wide.

There is a small island in between a river 100 meters wide. A tall tree stands on the island. P and Q are points directly opposite to each other on the two banks and in the line with the tree. If the angles of elevation of the top of the tree from P and Q are 30° and 45° respectively, find the height of the tree.

Solution:

The width of the river (PQ) = 100 m.
B is the island and AB is the tree on it.

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