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Some Applications of Trigonometry: 2 marks Questions (CBSE Class 10)

3 different 2 marks questions on Some Applications of Trigonometry from CBSE Class 10 Maths board exams 2022–2026, newest first.

1 mark (30)2 marks (3)3 marks (20)4 marks (25)5 marks (73)

Q242 marksVery Short AnswerSome Applications of Trigonometry CBSE 2023 · Standard 30/2/1

The length of the shadow of a tower on the plane ground is $3$ times the height of the tower. Find the angle of elevation of the sun.

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Answer:

3 0^{\circ}

Let height $= h$ ; shadow $= 3 h$ .
$tan θ = \frac{h}{3 h} = \frac{1}{3}$
$θ = 3 0^{\circ}$

Also asked in: 2023 Standard 30/2/2, 2023 Standard 30/2/3

Q24 (OR) (OR)2 marksVery Short AnswerSome Applications of Trigonometry CBSE 2023 · Standard 30/2/1

The angle of elevation of the top of a tower from a point on the ground which is 30 m away from the foot of the tower, is $3 0^{\circ}$ . Find the height of the tower.

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Answer:

103

$tan 3 0^{\circ} = \frac{h}{30}$
$h = \frac{30}{3} = 103$ m

Also asked in: 2023 Standard 30/2/2, 2023 Standard 30/2/3

Q232 marksVery Short AnswerSome Applications of Trigonometry CBSE 2023 · Standard 30/6/1

Find the length of the shadow on the ground of a pole of height 18 m when angle of elevation $θ$ of the sun is such that $tan θ = \frac{6}{7}$ .

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Answer: 21 m

Let the shadow be s m. Then $tan θ = \frac{18}{s}$ .
$\frac{18}{s} = \frac{6}{7}$
$s = \frac{18 \times 7}{6} = 21$ m

Also asked in: 2023 Standard 30/6/2, 2023 Standard 30/6/3

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