Answer
455.1k+ views
Hint- By the data provided in the question we can easily form a triangle and implementation of trigonometric ratios to this triangle will help to reach the answer.
Let us take the angle of elevation made by the point B on the ground with the sun as x degree.
Now length of shadow that is AB =$2\sqrt 3 m$, given in question.
The length of tower AC =6m, given in question.
$\operatorname{Tan} \theta = \dfrac{{height}}{{base}}$……………………………….. (1)
Now in $\vartriangle ABC$
Using equation (1) we can say that
$\operatorname{Tan} x = \dfrac{{AC}}{{AB}} = \dfrac{6}{{2\sqrt 3 }} = \dfrac{3}{{\sqrt 3 }}$
Now let’s rationalize the denominator part by multiplying $\sqrt 3 $ in both the numerator and denominator part.
$\tan x = \dfrac{3}{{\sqrt 3 }} \times \dfrac{{\sqrt 3 }}{{\sqrt 3 }} = \dfrac{{3\sqrt 3 }}{3} = \sqrt 3 $
Now
$
\tan x = \sqrt 3 \\
\Rightarrow x = {\tan ^{ - 1}}\left( {\sqrt 3 } \right) = \dfrac{\pi }{3} = {60^0} \\
$
Hence the required angle is 60 degrees.
Note- Whenever we come across this type of question the basic concept that we need to recall is that of trigonometric ratios, example$\operatorname{Tan} \theta = \dfrac{{height}}{{base}}$, similarly all other trigonometric ratios have a default implementation formula. Having a good grasp over them helps to reach the right answer.
![seo images](https://www.vedantu.com/question-sets/4d866279-0cc6-47f5-9859-fa218705a6e31482561127698779316.png)
Let us take the angle of elevation made by the point B on the ground with the sun as x degree.
Now length of shadow that is AB =$2\sqrt 3 m$, given in question.
The length of tower AC =6m, given in question.
$\operatorname{Tan} \theta = \dfrac{{height}}{{base}}$……………………………….. (1)
Now in $\vartriangle ABC$
Using equation (1) we can say that
$\operatorname{Tan} x = \dfrac{{AC}}{{AB}} = \dfrac{6}{{2\sqrt 3 }} = \dfrac{3}{{\sqrt 3 }}$
Now let’s rationalize the denominator part by multiplying $\sqrt 3 $ in both the numerator and denominator part.
$\tan x = \dfrac{3}{{\sqrt 3 }} \times \dfrac{{\sqrt 3 }}{{\sqrt 3 }} = \dfrac{{3\sqrt 3 }}{3} = \sqrt 3 $
Now
$
\tan x = \sqrt 3 \\
\Rightarrow x = {\tan ^{ - 1}}\left( {\sqrt 3 } \right) = \dfrac{\pi }{3} = {60^0} \\
$
Hence the required angle is 60 degrees.
Note- Whenever we come across this type of question the basic concept that we need to recall is that of trigonometric ratios, example$\operatorname{Tan} \theta = \dfrac{{height}}{{base}}$, similarly all other trigonometric ratios have a default implementation formula. Having a good grasp over them helps to reach the right answer.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)