There is a small island in the middle of a 50 m wide river and a tall tree stands on the island. P and Q are points directly opposite to each other on the two banks, and in line with the tree. If the angles of elevation of the top of the tree from P and Q are respectively 60° and 30° , find the height of the tree.
(A) 23.56 m
(B) 21.65 m
(C) 22.6 m
(D) 22.65 m
The correct option is: (B) 21.65 m
Explanation:
Let the height of the tree be h i.e.,
=> The height of the tree is 21.65 m