If the angle of elevation of the sun is 45 then the ratio between the tower and its shadow is

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If the ratio of the height of a tower and the length of its shadow is `sqrt3:1`, what is the angle of elevation of the Sun?

Let C be the angle of elevation of sun is θ. 

Given that: Height of tower is `sqrt3` meters and length of shadow is 1.

Here we have to find angle of elevation of sun.

In a triangle ABC, 

`⇒ tanθ =(AB)/(BC)` 

`⇒ tan θ=sqrt3/1`        ` [∵ tan 60°=sqrt3]`

`⇒ tan θ=sqrt3`

`⇒ θ=60 °`

Hence the angle of elevation of sun is 60°.

Concept: Heights and Distances

  Is there an error in this question or solution?

If the angle of elevation of the sun is 45% then the ratio between the tower and its shadow is a) 1 : 1 b) 1:sqrt 2 c) sqrt 2 : 1 d) 1 : sqrt3