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Q.

An aeroplane flies from the ground making an angle of 30°   with the ground and covers a distance of 184 m. What will be the height of the aeroplane above the ground?


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a

90m

b

82m

c

92m

d

100m 

answer is C.

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Detailed Solution

Given that an aeroplane flies from the ground making an angle of 30°   with the ground and covers a distance of 184 m.
We construct a diagram for the given description of the problem.
Question ImageUsing the identity sinθ= Perpendicular Hypotenuse   in ΔABC   ,
sinθ= AB AC   Now substituting θ  = 30 °  , and AC=184 in the equation sinθ= AB AC  ,
sin 30 ° = AB 184 AB= 1 2 184 [sin 30 ° = 1 2 ] AB=92m  
Thus the height of the aeroplane above the ground is 92  m.
Therefore the correct option is 3.
 
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An aeroplane flies from the ground making an angle of 30°   with the ground and covers a distance of 184 m. What will be the height of the aeroplane above the ground?