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:
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 4 of 7.
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.
As angle of elevation of the sun increases the length of shadow Decreases and vice versa.
Vivek Sunny said:
4 years ago
@Aditya.
We can choose any ratio either tan or cot.
But, which relates both adjacent and height.
We can choose any ratio either tan or cot.
But, which relates both adjacent and height.
Sanjay said:
10 years ago
Ya question has some mistake it's not 3. It's 3^1/2.
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
There are different ways to do same question.
they are using cot @ =AC/BC
but you can also use tan @ = perpendicular/base = AB/AC
Balaji said:
1 decade ago
Let me explain here, here carefully,
Here in the problem tree is taken as perpendicular i.e. AB and they also informed that the shadow of tree 3 times the tree i.e. 3 AB. Here shadow is nothing but base.
So we have formula that cot thita = cos θ/ sin θ
Cot θ= AC/AB
= 3 * AB/AB
Cot θ= 3
Cot θ= Cot 30
θ = 30
Here in the problem tree is taken as perpendicular i.e. AB and they also informed that the shadow of tree 3 times the tree i.e. 3 AB. Here shadow is nothing but base.
So we have formula that cot thita = cos θ/ sin θ
Cot θ= AC/AB
= 3 * AB/AB
Cot θ= 3
Cot θ= Cot 30
θ = 30
Appu said:
1 decade ago
Thank you Balaji.
Anchal said:
1 decade ago
We can also solve like this...let AB=x, then AC=3x, Now
AB/AC=tanθ
then x/3=tanθ
After crossing x from x..we get
1/3=tanθ
so tan 30=1/3
so θ=30...Ans..
AB/AC=tanθ
then x/3=tanθ
After crossing x from x..we get
1/3=tanθ
so tan 30=1/3
so θ=30...Ans..
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?
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?
Baribie said:
1 decade ago
Can any one explain the question?
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.
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