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NDA 2023
Exam
NDA
Year
2023
Subject
Mathematics
Chapter
Heights and Distances

NDA 2023 · Mathematics · Heights and Distances

Paragraph: A flagstaff 20 m long standing on a pillar 10 m high...

Paragraph: A flagstaff 20 m long standing on a pillar 10 m high subtends an angle tan⁡−1(0.5)\tan ^{-1}(0.5) at a point PP on the ground. Let θ\theta be the angle subtended by the pillar at this point PP.
Question: What is a possible value of tan⁡θ\tan \theta ?

Options

  1. A34\frac{3}{4}
  2. B23\frac{2}{3}
  3. C13\frac{1}{3}
  4. D14\frac{1}{4}

Correct answer

C. 13\frac{1}{3}

Step-by-step solution

tan⁡θ=10x⇒tan⁡θ=1010\tan \theta=\frac{10}{x} \Rightarrow \tan \theta=\frac{10}{10} or 1030tan⁡θ=1\frac{10}{30}\tan \theta=1 or 13\frac{1}{3}
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