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Q.

The shadow of a tree of height 12 meter, when the angle of elevation of the Sun is 45°, will be


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a

12 meter

b

13meter

c

3meter

d

3 meter 

answer is A.

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Detailed Solution

It is given that the tree is 12 meter in height and it is asked what is length of shadow the when angle of elevation of the Sun is 45°.
According to the given data the figure has been drawn below.
Question ImageLet AB =12 m be the tree.
Let AC be the shadow of length x. From right angled ΔACB, tanθ= Perpendicular base  
tan45°=BAAC tan45°=12x  1=12x  tan 45 ° =1   x=12  So the shadow of the tree will be 12m long.
So the correct option is 1.
 
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