Determine the clearance or obstruction of the line of sight at hill B if the observer is at A so that C will be visible from A. If C is not visible from A, what height if tower must be constructed so that it could be visible from A with the line of sight having a clearance of 1.9m above hill B? What height of equal towers at A and C must be constructed in order that A, B, C will be intervisible?

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter14: Highway Surveys And Location
Section: Chapter Questions
Problem 12P
Question
1. Two hills A and C have elevations of 610m and 790 m respectively. In
between A and C is another hill B which has an elevation of 700 m and is
located 10km from A and 13km km from C.
a. Determine the clearance or obstruction of the line of sight at hill B if the
observer is at A so that C will be visible from A.
b. If C is not visible from A, what height if tower must be constructed so that it
could be visible from A with the line of sight having a clearance of 1.9m
above hill B?
c. What height of equal towers at A and C must be constructed in order that
A, B, C will be intervisible?
2. C is a point having an elevation of 500m above datum, while A and B are
points of unknown elevation. B is in between A and C. By means of an
instrument set at 1.3m above B, vertical angles are observed, that to A being -
13°30' and that to C being +9°31'. The horizontal distance AB is 600m and the
horizontal distance BC is 1km. Making due allowance for earth's curvature
and atmospheric refraction.
a. Compute the difference in elevation between A and B.
b. Determine the difference in elevation between B and C.
c. Determine the elevation of A.
d. Determine the elevation of B.
Transcribed Image Text:1. Two hills A and C have elevations of 610m and 790 m respectively. In between A and C is another hill B which has an elevation of 700 m and is located 10km from A and 13km km from C. a. Determine the clearance or obstruction of the line of sight at hill B if the observer is at A so that C will be visible from A. b. If C is not visible from A, what height if tower must be constructed so that it could be visible from A with the line of sight having a clearance of 1.9m above hill B? c. What height of equal towers at A and C must be constructed in order that A, B, C will be intervisible? 2. C is a point having an elevation of 500m above datum, while A and B are points of unknown elevation. B is in between A and C. By means of an instrument set at 1.3m above B, vertical angles are observed, that to A being - 13°30' and that to C being +9°31'. The horizontal distance AB is 600m and the horizontal distance BC is 1km. Making due allowance for earth's curvature and atmospheric refraction. a. Compute the difference in elevation between A and B. b. Determine the difference in elevation between B and C. c. Determine the elevation of A. d. Determine the elevation of B.
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