GATE CE 2019 Set 1 — Question 20
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Geomatics Engineering → Traversing & Triangulation → Triangulation Survey
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Question
The interior angles of four triangles are given below:
Which of the triangles are ill-conditioned and should be avoided in Triangulation surveys?
| Triangle | Interior Angles |
|---|---|
| P | |
| Q | |
| R | |
| S |
Correct answer
(D) Both Q and S
Solution
In triangulation surveys, a triangle is considered well-conditioned if no angle is less than or greater than . Triangles with angles outside this range are called ill-conditioned and should be avoided.
- Triangle P: Angles are . All are between and . (Well-conditioned)
- Triangle Q: Angles are . The angle is less than . (Ill-conditioned)
- Triangle R: Angles are . All are between and . (Well-conditioned)
- Triangle S: Angles are . The angle is greater than and is less than . (Ill-conditioned)
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