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An observer 1.5 m tall is 30 m away from a chimney. The angle of elevation of the top of the chimney from his eye is 60•. Find the height of the chimney

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An important and exam oriented question from trigonometry

Topic- Height and distance

An observer 1.5 m tall is 30 m away from a chimney. The angle of elevation of the top of the chimney from his eye is 60•. Find the height of the chimney.

Book RS Aggarwal, Class 10, chapter 5C, question no 3

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1 Answer

  1. From the figure: Let AB be the position of the observer and CD be the height of the chimney h meters.
    AC=BE=30 m

    From height ΔBED
    tan60o=DE/BE
    ⇒√3=DE/BE
     h1.5=30√3
     h=53.4 (approx)
    Height of the chimney is 53.4 m

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