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Question

The angle of elevation of the rope of a tree from a point A on the ground is 60 . On walking 20m away from its base to a point B, the angle of elevation changes to 30. Find the height of the tree.


A

10√3

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B

20√3

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C

30√3

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D

40√3

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Solution

The correct option is A

10√3


In triangle ACD

tanɵ = DCCA = hx

tan60 = 3 = hx ..................... 1

in triangle CDB

tan30 = CDCB

13 = hx + 20.......................2

Solving 1 and 2, we get h= 103


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