NTA Abhyas JEE Main2020MathematicsHeights and DistancesPractice
A statue of height 4   m stands on a tower of height 10   m . The angle subtended by the statue at the eyes of an observer of height 2   m , standing at a distance of 6   m from base of the tower is
Options
- At a n - 1 2 11
- Bt a n - 1 4 3
- Ct a n - 1 2
- Dt a n - 1 7 13
Correct answer
A. t a n - 1 2 11
Step-by-step solution
From the figure tan ⁡ α = 2 ,   tan ⁡ β = 4 3 tan ⁡ θ = 2 - 4 3 1 + 8 3 = 2 11 Hence, angle subtended by the statue at the eyes of the observer is θ = tan - 1 2 11