Question

A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60°. When he moves 40 metres away from the bank, he finds the angle to be 30°. Find the height of
the tree and the width of the river.

Answer 1

Let DC be  tree of height h m  BC be  the river  width X metre and A be the position of man after moving 40 m.



Given:



AB= 40 m, angle DAC = 30° angle DBC = 60°



Solution is in the attachment.


Hence, the height of the tree is 20√3 metre & width of the tree is 20 m


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Hope this will help you.....