Situation 4] Two tangents that intersect at an angle of 4X°40' are to be connected by a compound curve consisting of a 4.1° curve and a 5.5° curve. If the tangent at the beginning of the curve to the point of intersection of the tangent is 110 m long, i. Compute the central angle of the first curve, I1. ii. Compute the central angle of the second curve, l2. ii. Compute the length of the tangent from the end of the 5.5°-curve to the point of intersection of the tangents.
Situation 4] Two tangents that intersect at an angle of 4X°40' are to be connected by a compound curve consisting of a 4.1° curve and a 5.5° curve. If the tangent at the beginning of the curve to the point of intersection of the tangent is 110 m long, i. Compute the central angle of the first curve, I1. ii. Compute the central angle of the second curve, l2. ii. Compute the length of the tangent from the end of the 5.5°-curve to the point of intersection of the tangents.
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section: Chapter Questions
Problem 1GP
Related questions
Question
Situation 4
![Situation 1] A circular road is proposed to be laid out with tangent AB whose bearing is
N8Z°54'E intersecting another tangent line BC whose bearing is N4Y030'E. If the degree of the
curve is 4.5°, using arc basis, determine the following:
i.
Tangent distance of the curve, T
ii.
Long chord of the curve, C
Middle ordinate, M
External distance, E
Length of the road, LC
If the station of point B 10+XYZ, determine the station of PT.
ii.
iv.
V.
vi.
Situation 2] A simple curve having a radius of 23Z.0 m has tangents of N28.X°E and N66.0°E. A
line running parallel to the first tangent crosses the centerline of the curve at a distance 10
meters away from the first tangent. If chainage of station PC is 17+ZYX,
i.
What is the deflection angle at the point of intersection of the line and the simple
curve measured from PC?
ii.
What is the chainage of the point of intersection?
ii.
Compute the chord distance from PC to the point of intersection of the line and the
curve.
Situation 3] The bearing of the first tangent of a simple curve is N70.X°E while the second
tangent has a bearing of S82°3Z'E. The degree of curve is 4.5° and chainage of PC is 3+XY. It
is proposed to decrease the central angle by an angle of 7° by changing the direction of the
second tangent, in such a way that the position of PT and the direction of the first tangent shall
remain unchanged. Determine the following:
i.
New angle of intersection, I'.
ii.
New radius of the curve, R'.
ii.
New chainage of station PC.
Situation 4] Two tangents that intersect at an angle of 4X°40' are to be connected by a
compound curve consisting of a 4.1° curve and a 5.5° curve. If the tangent at the beginning of
the curve to the point of intersection of the tangent is 110 m long,
i.
Compute the central angle of the first curve, lı.
ii.
Compute the central angle of the second curve, l2.
ii.
Compute the length of the tangent from the end of the 5.5°-curve to the point of
intersection of the tangents.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3482d766-c0bf-4b78-bebc-8b6c1dd4bd85%2Fbdf1b91e-4460-4a03-94d4-37427ed258f1%2Fkpqx2s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Situation 1] A circular road is proposed to be laid out with tangent AB whose bearing is
N8Z°54'E intersecting another tangent line BC whose bearing is N4Y030'E. If the degree of the
curve is 4.5°, using arc basis, determine the following:
i.
Tangent distance of the curve, T
ii.
Long chord of the curve, C
Middle ordinate, M
External distance, E
Length of the road, LC
If the station of point B 10+XYZ, determine the station of PT.
ii.
iv.
V.
vi.
Situation 2] A simple curve having a radius of 23Z.0 m has tangents of N28.X°E and N66.0°E. A
line running parallel to the first tangent crosses the centerline of the curve at a distance 10
meters away from the first tangent. If chainage of station PC is 17+ZYX,
i.
What is the deflection angle at the point of intersection of the line and the simple
curve measured from PC?
ii.
What is the chainage of the point of intersection?
ii.
Compute the chord distance from PC to the point of intersection of the line and the
curve.
Situation 3] The bearing of the first tangent of a simple curve is N70.X°E while the second
tangent has a bearing of S82°3Z'E. The degree of curve is 4.5° and chainage of PC is 3+XY. It
is proposed to decrease the central angle by an angle of 7° by changing the direction of the
second tangent, in such a way that the position of PT and the direction of the first tangent shall
remain unchanged. Determine the following:
i.
New angle of intersection, I'.
ii.
New radius of the curve, R'.
ii.
New chainage of station PC.
Situation 4] Two tangents that intersect at an angle of 4X°40' are to be connected by a
compound curve consisting of a 4.1° curve and a 5.5° curve. If the tangent at the beginning of
the curve to the point of intersection of the tangent is 110 m long,
i.
Compute the central angle of the first curve, lı.
ii.
Compute the central angle of the second curve, l2.
ii.
Compute the length of the tangent from the end of the 5.5°-curve to the point of
intersection of the tangents.
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