Aptitude - Height and Distance - Discussion

Discussion Forum : Height and Distance - General Questions (Q.No. 3)
3.
The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:
2.3 m
4.6 m
7.8 m
9.2 m
Answer: Option
Explanation:

Let AB be the wall and BC be the ladder.

Then, ACB = 60° and AC = 4.6 m.

AC = cos 60° = 1
BC 2

BC = 2 x AC
= (2 x 4.6) m
= 9.2 m.

Discussion:
45 comments Page 2 of 5.

JIT said:   9 years ago
If we take,

tan30=AC/BC,
BC=7.8.

Why can't we solve in this way?
(1)

Prasanna kumar said:   9 years ago
Why was the down angle is 60 degrees, angle of elevation means top angle should be top angle should be zero?
(1)

Praveen kumar said:   9 years ago
Great answer Thanks @Rahul Rami.
(1)

Rajan said:   9 years ago
Why can't we use sec instead of cos?
(1)

Jayanth said:   6 years ago
Here, they asked about the length of the ladder, not about the hypotenuse.

So the correct answer is 7.8m.
(1)

Deepali said:   5 years ago
why we take cos here? Explain please.
(1)

Eben Thomas said:   4 years ago
sin=o/h , cos=a/h, tan=o/a,

Here,
o- Opposite side;
h-Hypotnuse;
a- Adjasent side.
(1)

Cynthia said:   1 decade ago
Why can't we take in this way:

Tan 60 = AB/4.6.

1.73 = AB/4.6.
AB = 7.958.
(1)

Shiyamala maths said:   1 decade ago
sin=Opposite side/hypotenuse

cos=adjacent side/hypotenuse

tan=opposite/adjacent

AC=4.6

We know adjacent side that is only we are using cos

cos{60)=A.s/Hypo=1/2

=AC/AB = 1/2 {cross multiplication)

=2(AC)=AB

2(4.6)=AB

9.2=AB
(1)

Prasad Chachadi said:   8 years ago
Here, the elevation with respect to the wall but in the solution, it is taken with respect to the land!

Please correct me, if I am wrong.


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