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Class 10 · Maths · Some Applications of Trigonometry

Heights and distancesPractice Questions & MCQs

Practice Heights and distances questions from Some Applications of Trigonometry (Class 10 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.

Heights and distancesQuiz - Solve & Score

  1. Q1. Standing 45 m from a radio mast on flat ground, a surveyor measures the angle to its tip as 60 deg; what is the mast's height?

    • A.22.5 m
    • B.15*sqrt(3) m
    • C.45 m
    • D.45*sqrt(3) m

    Answer: D. 45*sqrt(3) m

    tan 60 = height/45, so height = 45*sqrt(3) m (since tan 60 = sqrt(3)).

  2. Q2. Across a field 90 m wide, a fisherman views the lamp of a lighthouse at an elevation of 30 deg; how high is the lamp above his eye level?

    • A.90 m
    • B.90*sqrt(3) m
    • C.30*sqrt(3) m
    • D.45 m

    Answer: C. 30*sqrt(3) m

    height = 90 * tan 30 = 90/sqrt(3) = 30*sqrt(3) m.

  3. Q3. A delivery rider parked 50 m from a telecom tower tilts his gaze 60 deg upward to its antenna; how far above the ground is the antenna?

    • A.50*sqrt(3) m
    • B.50 m
    • C.25 m
    • D.16.67*sqrt(3) m

    Answer: A. 50*sqrt(3) m

    height = 50 * tan 60 = 50*sqrt(3) m.

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Heights and distances - Frequently asked questions

Where can I practise Heights and distances questions for Class 10 Maths?

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Are these Heights and distances questions important for the exam?

Yes. These Heights and distances important questions follow the Maths exam pattern (CBSE Boards, plus JEE and NEET foundation), so they help with both school and competitive prep.

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Every Heights and distances question on RankByte comes with the correct answer and a full step-by-step solution, so you learn the concept instead of just guessing.