CMAT 2013 Solved Question Paper

Question : 21 of 100

Marks: +1, -0

The angle of elevation of the top of a tower from the bottom of a building is twice that from its top. What is the height of the building, if the height of the tower is 75 m and the angle of elevation of the top of the tower from the bottom of the building is 60°?

25 m
37.5
50 m
60 m

Validate

Solution:

In △ ABC ,

√3 = 75/{BC}

∴ BC =

75/√3 = 25√3

Now , from figure BC = ED
In △ ADE ,

1/√3 = {AE}/{25√3}

⇒ AE = 25 m
hence , BE = 75 - 25 = 50m
Therefore height of the building = 50 m

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