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A kite is flying at a height of… (Class 10 Maths 2025, Q17)

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MathsCBSE Class 10 · Standard · Board exam 2025, set 30/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2025: question 17

Set in the CBSE Class 10 board exam of 2025, paper 30/1/1, 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 kite is flying at a height of 150 m from the ground. It is attached to a string inclined at an angle of to the horizontal. The length of the string is :

  1. (A) m
  2. (B)300 m
  3. (C) m
  4. (D) m

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/1/1.

Hints

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

Hint 1

Draw a right triangle in which the string is the hypotenuse.

Hint 2

Which ratio links the opposite side and the hypotenuse? Use it with .

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. Let the string length be . The height (150 m) is the side opposite the angle, and the string is the hypotenuse.

  2. .

  3. m, so the answer is option (B).

    1 mark

Answer: 300 m, option (B)

Where the marks are

  • Chooses option (B) 300 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 paper2025 board paper, set 30/1/1 (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.