GATE CE 2025 Set 1 — Question 35
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Geomatics Engineering → Curves → Horizontal Alignment
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Question
Road A and Road B are joined by a circular horizontal curve of radius m as shown in the figure. Road A and Road B are tangential to the curve at the points C and D, respectively. Had the curve not been there, straight roads A and B would have met at the point E. The distance from C to E is m. The value of angle (in degrees) is ______________ (rounded off to decimal place).Note: The value of angle is to be calculated only from the consideration of Euclidean geometry and the data given in the problem.
Correct answer
48 to 51
Solution
In a circular horizontal curve, the distance from the point of tangency (C or D) to the point of intersection (E) is known as the tangent length ().The relationship between the tangent length (), the radius of the curve (), and the deflection angle () is given by:From the figure, the angle is the external deflection angle between the two tangents. Thus, .Given:
Radius m
Tangent length mSubstituting the values:Rounding off to decimal place, the value of angle is .
Radius m
Tangent length mSubstituting the values:Rounding off to decimal place, the value of angle is .
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