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Q.

A portion of a 60 m long tree is broken by a tornado and the top struck up the ground making an angle of 30 °   with the ground level. The height of the point where the tree is broken is equal to

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a

40 m 

b

35 m

c

20 m

d

30 m

answer is D.

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Detailed Solution

Given that a portion of a 60 m long tree is broken by a tornado.
We have to find the height of the point where the tree is broken.
The value for sin 30 ° = 1 2  .   
Suppose, the height of the tree is AC=X.
Thus,
AB=AC+CB ⇒60=x+CB ⇒CB=60−x   Then, by using the figure geometry,
Question ImageSo,
sin 30 ° = CA AB ⇒ 1 2 = x (60−x) ⇒60 =x+2x ⇒x =20 m   Therefore, the correct option is 4.
 
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