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Prithwijit Dutta

· started a discussion

· 1 Months ago

x is the distance, question requires height

Question:

There is a small island in the middle of a 100 m wide river and tall tree stands on the island. P and Q are points directly opposite to each other on 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 30° and 45°, find the height of the tree.

Options:
A)

63.6 m

B)

66.3 m

C)

36.6 m

D)

33.6 m

Solution:

Ans: (c)

  

Knowledge Expert

· commented

· 1 Months ago

Dear Student,
Please study the solution carefully.
In the solution by using 1st condition , we got AB = x { as tan45 = 1 }
And AB is height , and is equal to x which is 36.6 m

So the given answer and solution are right.

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