Aptitude - Height and Distance - Discussion

Discussion Forum : Height and Distance - General Questions (Q.No. 6)
6.
The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:
30°
45°
60°
90°
Answer: Option
Explanation:

Let AB be the tree and AC be its shadow.

Let ACB = .

Then, AC = 3         cot = 3
AB

= 30°.

Discussion:
62 comments Page 2 of 7.

Mahendra said:   8 years ago
Let height of the shadow = x.
Then the shadow of the is root3 times the height of the tree = root3*x.
Nnow tan θ =x/root3*x.
x,x gets cancel and 1/3 remains.
we know the tan1/3 = 30°.

Mjp said:   1 decade ago
The sun forms a angle of depression. So as the sun is very far away it is hard to take the value, so we can take the angle of elevation of a tree which is equal to the angle of depression.

Palash said:   9 years ago
I am not getting the question's meaning. They have included two objectives (tree as well as sun) but which one should I take to solve this problem correctly.

Please tell me friends.

Vijay Kumar said:   6 years ago
@All.

tanθ=AB/AC = x/√3x.
tanθ=1/√3.

In the important formula table, they were given that the value of tan30 = 1/√3.
Hence here the value of θ becomes 30.

Aditya said:   6 years ago
I think answer would be 60° because here angle of elevation of the Sun is asked.

As angle of elevation of the sun increases the length of shadow Decreases and vice versa.

Jabbar jr said:   2 years ago
The length of the shadow fo the tree is √3.
Here we want length of the tree only, So;
tanθ=opp/adj.
tanθ = x/√3.
θ=x/√3 => θ=1/√3.
So, the answer is θ = 30°.
(12)

Kapil said:   1 decade ago
Angle ACB = Angle BCA
There are different ways to do same question.

they are using cot @ =AC/BC

but you can also use tan @ = perpendicular/base = AB/AC

Siddharth said:   3 weeks ago
The length of the tree = AB, shadow of tree = CB.
Assume AB = x then CB = √3x.
Now , tanθ = AB / CB = x/√3x = 1/√3.
we know tan30° = 1/√3.
So, θ = 30°
(1)

Kanaga said:   1 decade ago
Hi,

I am not getting the question correctly. They have asked about the angle of elevation of sun. Why should we go for angle of elevation of tree?

Maddy said:   1 decade ago
Since you know that tan @ = P/B that is AB/AC. And the opposite of tan @ is cot@= B/P that is AC/AB.

I hope it will help you to understand.


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