A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60° and when he retires 40 metres away from the tree the angle of elevation becomes 30°. The breadth of the river is??
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Let CD be the tree of height h m. Let B be the position of a man standing on the opposite bank of the river. After moving 40 m away from point B let new position of man be A i.e., AB = 40 m. The angles of elevation of the top of the tree from point A and B are 30° and 60° respectively, i.e., ∠CAD = 30° and ∠CBD = 60°.
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Answer: A person standing on the bank of the river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60∘. When he was 40m away from the bank he finds that the angle of elevation to be 30∘. Find. (i) the height of the tree. 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 of elevation to be 30°. ... The angles of elevation of the top of the tree from point A and B are 30° and 60° respectively, i.e., ∠CAD = 30° and ∠CBD = 60°. The width of the river is the distance between the two points on your side of the river times the tangent of the angle. This can also be solved by using any two points on your bank of the river.
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