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Q.

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


Class: Grade 10


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a

35.6

b

36.6

c

37.6

d

38.6 

answer is B.

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Detailed Solution

Let OA be the tree of height hm.                                                           In Δ POA and Δ POA, we have                                                                                 h = 50(1.732 – 1) m = 36.6 m.
 
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