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JEE Main 202124 FebruaryMorning Shift
Exam
JEE Main
Year
2021
Date
24 February
Shift
Morning Shift
Subject
Mathematics
Chapter
Heights and Distances

JEE Main 2021 · 24 February · Morning Shift · Mathematics · Heights and Distances

Two vertical poles are 150m apart and the height of one is three...

Two vertical poles are 150m150m apart and the height of one is three times that of the other. If from the middle point of the line joining their feet, an observer finds the angles of elevation of their tops to be complementary, then the height of the shorter pole (in meters) is:Two vertical poles are 150m apart and the height of one is three times that of the other. If from the middle point of

Options

  1. A2525
  2. B3030
  3. C20320\sqrt{3}
  4. D25325\sqrt{3}

Correct answer

D. 25325\sqrt{3}

Step-by-step solution

Two vertical poles are 150m apart and the height of one is three times that of the other. If from the middle point of

tanθ=h75=753htan\theta = \dfrac{h}{75} = \dfrac{75}{3h}

⇒h2=(75)23⇒ {h}^{2} = \dfrac{{\left(75\right)}^{2}}{3}

h=253mh = 25\sqrt{3}m

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