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Question: Answered & Verified by Expert
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
MathematicsHeights and DistancesJEE Main
Options:
  • A tan-1211
  • B tan-143
  • C tan-12
  • D tan-1713
Solution:
1184 Upvotes Verified Answer
The correct answer is: tan-1211

From the figure

tanα=2, tanβ=43
tanθ=2-431+83=211

Hence, angle subtended by the statue at the eyes of the observer is θ=tan-1211

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