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  • If a tower 30 m high, casts a shadow   m long on the ground, then what is the angle of elevation of the sun ?   <div style="float:le

If a tower 30 m high, casts a shadow 10\sqrt{3}  m long on the ground, then what is the angle of elevation of the sun ?

 

 

 

 
 
 
 
 

Answers (1)

Given : 

Height of tower, AB=30\;m

Shadow of earth, BC=10\sqrt{3}\;m

To find : \angle C=?

In right angled \bigtriangleup ABC\; \; (\angle B=90^{\circ})

\tan C = \frac{AB}{BC}=\frac{30}{10\sqrt{3}}=\sqrt{3}

\tan C =\sqrt{3}

\Rightarrow C=60^{\circ}           \left ( \therefore \tan 60=\sqrt{3} \right )

Posted by

Ravindra Pindel

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