The angle of elevation of the sun when shadow of a pole of height hm height is root 3 hm long is

Prove the following:

Find the angle of elevation of the sun when the shadow of a pole h metres high is `sqrt(3)` h metres long.

Let the angle of elevation of the Sun is θ.

Given, height of pole = h m

Now, In ∆ABC

`tan theta = (AC)/(BC) = h/(sqrt(3)h)`

⇒ `tan 30^circ`

⇒ `theta = 30^circ`

Hence, the angle of elevation of the Sun is 30°.

Concept: Proof of Existence

  Is there an error in this question or solution?

Text Solution

`30^@``45^@``60^@``90^@`

Answer : A

Solution : Let the angle of elevation of the Sun is `theta`. <br> Given, height of pole =h <br> Now, in `DeltaABC`, <br> `tantheta= (AB)/(BC) = h/(sqrt(3)h)` <br> `tantheta=1/sqrt(3)= tan30^(@) rArr theta = 30^(@)` <br> Hence, the angle of elevation of the Sun is `30^(@)`. <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ARH_NCERT_EXE_MATH_X_C08_S01_035_S01.png" width="80%">

Find the angle of elevation of the Sun when the shadow of a pole "h" m high is "√3 h" m long.

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