Aptitude - Height and Distance - Discussion

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"If you judge people, you have no time to love them."

- Mother Teresa

The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:

[A].	30º	[B].	45º
[C].	60º	[D].	90º

Answer: Option D

Explanation:

Let AB be the tree and AC be its shadow.

Let ACB = .

Then, AC = 3 cot = 3

AB

= 30º.

Idiotshere said: (Tue, Oct 12, 2010 06:31:30 AM)

Help me please!. I'm not getting here why we are saying ACB why don't BCA ? And another is that why AC/AB why don't AB/AC = tan60 ?

Kapil said: (Wed, Dec 15, 2010 03:33:23 AM)

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

Balaji said: (Fri, Feb 11, 2011 08:19:07 AM)

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

Anchal said: (Mon, Jun 13, 2011 07:16:26 AM)

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..

Kanaga said: (Sun, Jun 26, 2011 09:59:35 AM)

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?

Baribie said: (Fri, Jul 1, 2011 02:56:58 PM)

Can any one explain the question?

Mjp said: (Sun, Jul 3, 2011 05:18:29 AM)

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.