5) A person is looking to the horizon, sees a building of height 25 m. What is the least height of this building can be seen from the same position if the refraction is neglected? 6) A person is looking to a minaret which is touching the horizon when his sighting height is 1.60 m and he can see the mid of the minaret if his sighting height is 5.75 m. What is the distance from this person to the minaret? 7) Via telescope, a surveyor sees top of a tower is touching the horizon and he sees mid of the tower after moving 5000 m toward the tower, what is the height of tower?

Structural Analysis
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ISBN:9781337630931
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Chapter2: Loads On Structures
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Levelling
5) A person is looking to the horizon, sees a building of height 25 m. What is the least height of
this building can be seen from the same position if the refraction is neglected?
6) A person is looking to a minaret which is touching the horizon when his sighting height is 1.60
m and he can see the mid of the minaret if his sighting height is 5.75 m. What is the distance
from this person to the minaret?
7) Via telescope, a surveyor sees top of a tower is touching the horizon and he sees mid of the
tower after moving 5000 m toward the tower, what is the height of tower?
8) A person sees a minaret is touching the horizon, what is the distance between the person and
the minaret if his sighting height is 1.60 m, and he can see mid of the minaret after moving 4
km toward it.
9) What is the refraction value in case of a person of sighting height 1.65 m sees a top of building
is touching the horizon, if you know the distance between him and the building is 19851 m?
10) Where the total station at point P, the slope distance and altitude angle to point Q were
observed as (790.55 m) and (- 05°20'30") respectively. Compute elevation of point P if the
elevation of point Q is (45.45 m) and the instrument height and rod reading were equal.
11) A theodolite was set up on point A at height (1.57 m), the altitude angle was observed to rod
at point B as (2°17'20") and the rod reading was (1.70 m). Then, the theodolite was set up on
point C at height (1.60 m), the altitude angle to rod at point B was observed as (01°00'40")
and the rod reading (1.80 m). Compute the elevation of point B if the horizontal distance
between A and B equal to horizontal distance between C and B, the elevation of point A (70.42
m), and the elevation of point C (86.11 m) (neglect the refraction and curvature error).
12) A total station was set up at height (1.58 m) on point Q, the zenith angle and horizontal
distance were observed to reflector (reflector height3D2.89 m) on point P as (269°35'25") and
(884.30 m) respectively. Compute the elevation of point Q if the elevation of point P is (78.34
m).
13) A total station was set up on point F, the altitude angle and the horizontal distance to
reflector, which was set up on point H at height (1.76 m), were observed as (3°45') and
(870.00 m) respectively. Compute the elevation of point H if the elevation of line of sight was
(54.98 m).
Transcribed Image Text:Levelling 5) A person is looking to the horizon, sees a building of height 25 m. What is the least height of this building can be seen from the same position if the refraction is neglected? 6) A person is looking to a minaret which is touching the horizon when his sighting height is 1.60 m and he can see the mid of the minaret if his sighting height is 5.75 m. What is the distance from this person to the minaret? 7) Via telescope, a surveyor sees top of a tower is touching the horizon and he sees mid of the tower after moving 5000 m toward the tower, what is the height of tower? 8) A person sees a minaret is touching the horizon, what is the distance between the person and the minaret if his sighting height is 1.60 m, and he can see mid of the minaret after moving 4 km toward it. 9) What is the refraction value in case of a person of sighting height 1.65 m sees a top of building is touching the horizon, if you know the distance between him and the building is 19851 m? 10) Where the total station at point P, the slope distance and altitude angle to point Q were observed as (790.55 m) and (- 05°20'30") respectively. Compute elevation of point P if the elevation of point Q is (45.45 m) and the instrument height and rod reading were equal. 11) A theodolite was set up on point A at height (1.57 m), the altitude angle was observed to rod at point B as (2°17'20") and the rod reading was (1.70 m). Then, the theodolite was set up on point C at height (1.60 m), the altitude angle to rod at point B was observed as (01°00'40") and the rod reading (1.80 m). Compute the elevation of point B if the horizontal distance between A and B equal to horizontal distance between C and B, the elevation of point A (70.42 m), and the elevation of point C (86.11 m) (neglect the refraction and curvature error). 12) A total station was set up at height (1.58 m) on point Q, the zenith angle and horizontal distance were observed to reflector (reflector height3D2.89 m) on point P as (269°35'25") and (884.30 m) respectively. Compute the elevation of point Q if the elevation of point P is (78.34 m). 13) A total station was set up on point F, the altitude angle and the horizontal distance to reflector, which was set up on point H at height (1.76 m), were observed as (3°45') and (870.00 m) respectively. Compute the elevation of point H if the elevation of line of sight was (54.98 m).
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