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A flying kite is tied to… (Class 10 Maths SQP 2026-27, Q17)

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MathsCBSE Class 10 · Standard · Sample paper, session 2026-27 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard sample paper 2026-27: question 17

From the official CBSE sample question paper for 2026-27, section A, question 17, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q17 · 1 mark · MCQCompetency-basedSome Applications of Trigonometry

A flying kite is tied to a point on the ground with the help of a string. The string makes an angle with the ground level such that . If the length of the string is 52 m, then the height of the kite above the ground is:

  1. (A)40 m
  2. (B)45.5 m
  3. (C)48 m
  4. (D)50 m

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.

Hints

Open one hint at a time and try again before the next.

Hint 1

The string is the hypotenuse of the right triangle.

Hint 2

Convert tan θ into sin θ.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. , so the sides are in the ratio 12 : 5 and the hypotenuse is . This gives .

  2. The string is the hypotenuse: m, which is option (C).

    1 mark

Answer: 48 m, option (C)

Where the marks are

  • Finds sin θ = 12/13 and gets h = 48 m (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Some Applications of Trigonometry, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2026-27 (Standard): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.