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QJEEM19Mac3c8: JEE Main 2019 Mathematics - Class 12 JEEM19Mac3c8 Solution: If the angle of elevation of a cloud from a point P which is 25 …

If the angle of elevation of a cloud from a point P which is 25 m above a lake be 30o and the angle of depression of reflection of the cloud in the lake from P be 60o, then the height of the cloud (in meters) from the surface of the lake is :

Multiple Choice Options

  • A 45
  • B 42
  • C 50
  • D 60

Step-by-Step Verified Solution

JEE Main 2019 (Online) 12th January Evening Slot Mathematics - Height and Distance Question 28 English Explanation
tan 30o = xy⇒y=3x    ....(i){x \over y} \Rightarrow y = \sqrt 3 x\,\,\,\,....(i)

tan 60o = 25+x+25y{{25 + x + 25} \over y}

⇒  3y=50+x\Rightarrow \,\,\sqrt 3 y = 50 + x

⇒\Rightarrow    3x=50+x3x = 50 + x

⇒\Rightarrow    x = 25 m

∴\therefore    Height of cloud from surface

= 25 + 25 = 50m

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