MathsCBSE Class 10 · Standard · Board exam 2023, set 30/4/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2023: question 9

Set in the CBSE Class 10 board exam of 2023, paper 30/4/1, section A, question 9, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q9 · 1 mark · MCQSome Applications of Trigonometry

If a pole 6 m high casts a shadow $23$ m long on the ground, then sun's elevation is:

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

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 30/4/1.

Hints

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

Hint 1

The pole and its shadow form a right triangle.

Hint 2

Use $tan θ =$ opposite/adjacent and simplify $6/ (23)$ .

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 $θ$ be the sun's elevation. Then $tan θ = \frac{height of pole}{length of shadow} = \frac{6}{2 3} = 3$ .
$tan θ = 3 \Rightarrow θ = 6 0^{\circ}$ . So the answer is option (A).
1 mark

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

Where the marks are

Chooses option (A) $6 0^{\circ}$ (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 paper2023 board paper, set 30/4/1 (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 2023: question 9

Hints

Step-by-step solution

Revise the chapter

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