CBSE Class 10 Mathematics Basic 2023: question 4
Set in the CBSE Class 10 board exam of 2023, paper 430/2/1, section A, question 4, for 1 mark. Try it first; the hints and our step-by-step solution are below.
Q4 · 1 mark · MCQCompetency-basedSome Applications of Trigonometry
The string of a kite in air is 50 m long and it makes an angle of with the horizontal. Assuming the string to be straight, the height of the kite from the ground is:
- (A) m
- (B) m
- (C) m
- (D) m
Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 430/2/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
The string is the hypotenuse of a right triangle.
Hint 2
Which ratio links the opposite side and the hypotenuse?
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.
Height is opposite the angle and the string (50 m) is the hypotenuse, so .
- 1 mark
m. Option (D).
Answer: m, option (D)
Where the marks are
- Uses to get m (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
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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.