Aptitude - Height and Distance - Discussion

Discussion Forum : Height and Distance - General Questions (Q.No. 4)
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 30°. The height of the tower is:
21.6 m
23.2 m
24.72 m
None of these
Answer: Option
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 30° = 1
BE 3

DE = 203 m = 20 m.
3

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

Discussion:
18 comments Page 1 of 2.

Abirami said:   5 years ago
Opp/adj is cos not tan.

So, the answer is 31.6.

Thus none of these is the answer.
(3)

Pooja Kale said:   6 years ago
Remember basic rule,

If Finding :
Perpendicular : Sin
Hypotenuse : cos
Base : tan
(3)

Jatin007 said:   8 years ago
Applying tan because of we need to find DE.
So tan 30= DE/BE.
tan 30=DE/20√3,
DE=20√3*tan30( value of tan 30=1/√3),
So DE= 20.

So CD= EC+ED=1.6+20=21.6(answer).
(2)

Vivek Sunny said:   4 years ago
No @Abirami..

cos = adjacent/hypotenuse

tan= opposite/adjacent

For simply, remember...

SOHCAHTOA

where,
s- Sin.
o- Opposite.
h- Hypotenuse.
c- Cos.
t- Tan.
(1)

Kesavan said:   6 years ago
I'm not getting whether to use tan or cos. Please, anyone, clarify it in detail.
(1)

Monu_yadav said:   8 years ago
But the unit of 20√3 is not given in a problem. So,answer is None of these.
(1)

Seeli said:   8 years ago
Why they not use cos 30?

Dipakk said:   6 years ago
@Jatin.

Why EC & ED added?

Akshatha said:   7 years ago
@Rocky.

Yes, it is the right answer.

Midhun said:   7 years ago
@Akshaya Prasad.

We use tan, sin or cos depending upon what we want to get and what they have given in the question.

For example. If they give opposite side and you want to find the adjacent side. So, we will use a tan.


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