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 5 of 5.

Ujjawal said:   3 years ago
Here, why we have used COS?

Because we have to find the length of the ladder and the length of ladder is the hypotenuse, perpendicular is wall nd base is foot from the ladder so as we know cos equals base upon hypotenuse. So, to get results we will use this as the data given to us fits for cos.
(2)

Eben Thomas said:   3 years ago
sin=o/h , cos=a/h, tan=o/a,

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

Fardeen khan said:   3 years ago
@All.

Here, actually, we want to find the (hypotenus) length of the ladder therefore we use "cos" = B/H (length's ledger).
(2)

Anomie said:   2 years ago
@All.

According to trigonometry. We take sin θ when we should find either the opposite side value or the hypotenuse side value and we know either the hypotenuse side value or the opposite side value respectively.

Sin θ = opposite side value / Hypotenuse side value.

Same way We take cos θ when we should find either the hypotenuse side value or base side value and we know either the base side value or hypotenuse side value respectively.

Cos θ = base side value/Hypotenuse side value.

To take tan θ when we should find either the opposite side value or the base side value and we know either the base side value or the opposite side value respectively.

Tan θ = Opposite side value/base side value.
(6)

Student said:   8 months ago
How to identify when we use tan, cot or sin function? Anyone please clarify.
(1)


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