Question

For better accuracy in measuring and plotting the sides of a triangle by triangulation, the angles of the triangle

• A. Should not be more than \(30^\circ\)
• B. Should not be less than \(30^\circ\) or more than \(120^\circ\)
• C. Are not restricted in magnitude
• D. Should not be less than \(120^\circ\)

Hint:

For accurate triangulation, \[ \boxed{ 30^\circ \le \text{Angle} \le 120^\circ } \] An equilateral triangle gives the highest accuracy.

Answer 1

The Correct Option is B

Concept: In triangulation surveying, the accuracy of the computed sides depends upon the shape of the triangles. Very acute or very obtuse angles magnify observational errors. Hence, the recommended limits are \[ \boxed{ 30^\circ \le \theta \le 120^\circ } \] The ideal triangle is nearly equilateral with angles close to \(60^\circ\).

Step 1: Understand the requirement. To minimize the effect of angular errors, angles should neither be too small nor too large.

Step 2: Identify the correct limits. Thus, \[ \boxed{ 30^\circ \le \theta \le 120^\circ } \] Therefore, the correct option is \[ \boxed{(B).} \]