Choose Language

Select your preferred reading language
🇬🇧
English
🇮🇳
हिन्दी
Full View
NTPC Graduate Tier 1 2016 Shift 2 📅 02 Apr, 2016

A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30° with the ground. How high on the wall does the ladder reach?

A
10 m
B
17.32 m
C
34.64 m
D
30 m
Result Summary
Logo

APEDIA

NTPC Graduate Tier 1
2016 • 02 Apr, 2016 • Shift 2
A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30° with the ground. How high on the wall does the ladder reach?
Correct Answer
10 m
Trigonometric Concept: The setup forms a right-angled triangle where the ladder acts as the hypotenuse, and the height on the wall is the perpendicular side opp......
💡 Analysis & Explanation
Trigonometric Concept
The setup forms a right-angled triangle where the ladder acts as the hypotenuse, and the height on the wall is the perpendicular side opposite to the angle given.
Sine Function Application
sin(θ) = Perpendicular / Hypotenuse.
Calculation
sin(30°) = Height / 20. Since sin(30°) is 0.5, we get 0.5 = Height / 20.
Result
Height = 20 * 0.5 = 10 meters.
Conclusion
The ladder reaches a height of exactly 10 meters.