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From a point on the ground… (Class 10 Maths 2026, Q12)

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MathsCBSE Class 10 · Standard · Board exam 2026, set 30/2/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2026: question 12

Set in the CBSE Class 10 board exam of 2026, paper 30/2/1, section A, question 12, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q12 · 1 mark · MCQSome Applications of Trigonometry

From a point on the ground, which is 60 m away from the foot of a vertical tower, the angle of elevation of the top of the tower is found to be . The height (in metres) of the tower is :

  1. (A)
  2. (B)
  3. (C)60
  4. (D)30

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/2/1.

Hints

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

Hint 1

Draw the right triangle formed by the tower, the ground and the line of sight.

Hint 2

Use tan of the angle = opposite/adjacent, and recall the value of .

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 be the height of the tower. In the right triangle formed with the ground, .

  2. Since , we get m. Option (C).

    1 mark

Answer: 60 m, option (C)

Where the marks are

  • Uses and gets 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 paper2026 board paper, set 30/2/1 (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.