The upper ( 3 4 ) th portion of a vertical pole subtends an angle ^ -1 ( 3 5 ) at a point…

Mathematics · JEE Main · NTA ExamsTrigonometry

The upper \(\left(\frac{3}{4}\right) \text { th }\)portion of a vertical pole subtends an angle \(\tan ^{-1}\left(\frac{3}{5}\right)\) at a point in the horizontal plane through its foot and at a distance 40m from the foot. A possible height of the vertical pole is
  1. 20 m
  2. 40 m
  3. 60 m
  4. 80 m

Answer

(B) 40 m

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