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Q.

If a flagstaff 6 m high placed on the top of a tower throws a shadow 2 3  m   along the ground, then the angle of elevation of the sun is

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a

60 o  

b

30 o  

c

45 o  

d

90 o   

answer is A.

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Detailed Solution

Given that a 6 m high flagstaff is placed on the top of a tower which throws a shadow of 2 3  m  .
We have to find the angle of elevation.
In a right-angle triangle, tanθ=  Opposite side   Adjacent side   
Consider the figure,
If a flag - staff of 6m height placed on the top of a tower throws a shadow  of 2√(3) m along the ground, then what is the angle that the sun So,
tanθ = 6 2 3 = 3 tanθ =tan 60 ° θ = 60 °  
Therefore, the angle of elevation is 60 o .  
Therefore, the correct option is 1.
 
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