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Aptitude - Height and Distance - Discussion

@ : Home > Aptitude > Height and Distance > General Questions - Discussion

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"Everyone is wise until he speaks."
- (Proverb)
4. 

An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:

[A]. 21.6 m[B]. 23.2 m
[C]. 24.72 m[D]. None of these

Answer: Option A

Explanation:

Let AB be the observer and CD be the tower.

Draw BE CD.

Then, CE = AB = 1.6 m,

      BE = AC = 203 m.

DE = tan 30º = 1
BE 3

DE = 203 m = 20 m.
3

CD = CE + DE = (1.6 + 20) m = 21.6 m.


Yazhini.M.R said: (Wed, Aug 3, 2011 11:27:23 AM)    
 
Since tan thetq= opposite/adjacent , tan 30= DE/BE ,

the value of tan 30 is 1/ root 3,

then DE/BE=1/root 3, then DE=BE/root 3,

thus 20 m is obtained.

since CD= CE+DE, 21.6 is obtained.

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