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

CBSE Class 10 Mathematics Standard 2026: question 11

Set in the CBSE Class 10 board exam of 2026, paper 30/1/1, section A, question 11, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q11 · 1 mark · MCQCompetency-basedSome Applications of Trigonometry

A car is moving away from the base of a 30 m high tower. The angle of elevation of the top of the tower from the car at an instant, when the car is $103$ m away from the base of the tower, is :

(A) $3 0^{\circ}$
(B) $4 5^{\circ}$
(C) $9 0^{\circ}$
(D) $6 0^{\circ}$

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

Hints

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

Hint 1

Use tan = opposite / adjacent.

Hint 2

Simplify $30/ (103)$ .

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.

Let the angle of elevation be $θ$ . Then $tan θ = \frac{height}{distance} = \frac{30}{10 3} = 3$ .
$tan θ = 3$ gives $θ = 6 0^{\circ}$ . Option (d).
1 mark

Answer: $6 0^{\circ}$ , option (d)

Where the marks are

Finds $tan θ = 3$ , so $θ = 6 0^{\circ}$ , option (d) (1 mark)

Revise the chapter

Chapter: Some Applications of Trigonometry (notes, formulas, where marks are lost and every past question)
Topic: Line of Sight and Angle of Elevation

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 30/1/1 (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.

CBSE Class 10 Mathematics Standard 2026: question 11

Hints

Step-by-step solution

Revise the chapter

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