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NTPC Graduate Tier 1 2016 Shift 2 📅 02 Apr, 2016

Two poles of the height 15 m and 20 m stand vertically upright on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.

A
11 m
B
12 m
C
13 m
D
14 m
Result Summary
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NTPC Graduate Tier 1
2016 • 02 Apr, 2016 • Shift 2
Two poles of the height 15 m and 20 m stand vertically upright on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.
Correct Answer
13 m
Geometric Mapping: Draw a horizontal line from the top of the shorter pole (15m) to the taller pole (20m). This forms a right-angled triangle.Triangle Dimension......
Ref/Book : NTPC Graduate Tier 1 2016
Ref. Subject Geometry & Trigonometry
Chapter -
Ref. Topic Geometry
Pg. No -
💡 Analysis & Explanation
Geometric Mapping ▼
Draw a horizontal line from the top of the shorter pole (15m) to the taller pole (20m). This forms a right-angled triangle.
Triangle Dimensions ▼
The base of this triangle is equal to the distance between the poles, which is 12m. The perpendicular height is the difference in pole heights: 20m - 15m = 5m.
Pythagoras Theorem Application ▼
The distance between their tops is the hypotenuse. Hypotenuse^2 = Base^2 + Perpendicular^2 = 12^2 + 5^2 = 144 + 25 = 169.
Final Calculation ▼
The square root of 169 is 13.
Conclusion ▼
The exact distance between their tops is 13 m.
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