Indian Institute of Foreign Trade 2012 Solved Paper

Question : 32 of 128

Marks: +1, -0

There are two buildings, one on each bank of a river, opposite to each other. From the top of one building - 60 m high, the angles of depression of the top and the foot of the other building are 30° and 60° respectively. What is the height of the other building

30 m
18 m
40 m
20 m

Validate

Solution:

The given situation is as shown:-

Width of the river

=\tan30×60=20

Now

\tan30=(60-x)/(20√3)

Solving we get

x=40m

Thus, the height of the building = 40m
Hence, option C is the correct answer.

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