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:
63 comments Page 3 of 7.
Akhila V U said:
8 years ago
Cot θ= AC/AB.
Cot θ =(3 * AB)/AB,
Cot θ= 3.
Therefore :
θ = 30.
Cot θ =(3 * AB)/AB,
Cot θ= 3.
Therefore :
θ = 30.
Swapnali wadhavne said:
8 years ago
Here shadow is √3 times the tree height.
Therefore AC=√3AB.
NOW tanθ =AB/AC,
tanθ =AB/√3AB,
tanθ=1/√3,
θ=tan^-1((1/√3)),
θ=30°.
Therefore AC=√3AB.
NOW tanθ =AB/AC,
tanθ =AB/√3AB,
tanθ=1/√3,
θ=tan^-1((1/√3)),
θ=30°.
Dattatray said:
8 years ago
Let x be the height of tree and shadow length √3 x,
Tanθ= x &div √3 x.
θ=tan-1(1 &div √3),
θ=30.
Tanθ= x &div √3 x.
θ=tan-1(1 &div √3),
θ=30.
Sandeep sai kumar said:
8 years ago
We consider;
ab=x then,
ca=√3x,
So tanθ=opposite/adjacent.
Tanθ=ab/ac.
Tanθ=x/√3x,
Tanθ=1/√3,
θ=tanθ 1(1/√3),
θ=tan (√3),
θ=30°.
ab=x then,
ca=√3x,
So tanθ=opposite/adjacent.
Tanθ=ab/ac.
Tanθ=x/√3x,
Tanθ=1/√3,
θ=tanθ 1(1/√3),
θ=tan (√3),
θ=30°.
Jeslin said:
8 years ago
Let tree AB=x.
Shadow AC= √3 times height of the tree.
so, AC= √3x.
Here, the opposite and adjacent sides are involved so, we are using tan.
Tan theta = opp/adj =AB/AC =x/√3x =1/√3.
Theta = tan inverseof( 1/√3).
Theta=30°.
(we know that tan 30° =1/√3).
Hope it helps.
Shadow AC= √3 times height of the tree.
so, AC= √3x.
Here, the opposite and adjacent sides are involved so, we are using tan.
Tan theta = opp/adj =AB/AC =x/√3x =1/√3.
Theta = tan inverseof( 1/√3).
Theta=30°.
(we know that tan 30° =1/√3).
Hope it helps.
Pranit Raj said:
7 years ago
Can also the answer be 60° If we consider tan.
Sai Aswin said:
7 years ago
SHORT CUT:
Shadow=√3(height of the tree).
(Shadow/height of tree)= √3,
So, cotθ = √3=30°.
Shadow=√3(height of the tree).
(Shadow/height of tree)= √3,
So, cotθ = √3=30°.
Nisha said:
7 years ago
Thanks @Balaji.
Sajid said:
8 years ago
Why can't we say tan 60?
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.
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