Answer :
The level of the top of the building is approximately 1445.30 m A.M.S.L., and the level of the bottom (base) of the building is approximately 1180.98 m A.M.S.L.
To calculate the level of the top and bottom of the building, we need to use the principle of differential leveling.
Given:
Level of the instrument station (IS) = 1522.75 m A.M.S.L.
Height of the instrument (H.I) = 1.55 m
Vertical circle readings:
Backsight (BS) = 264° 18' 55"
Foresight (FS) = 79° 00' 10"
To find the level of the top and bottom of the building, we'll calculate the Reduced Level (RL) for each point.
Backsight (BS):
The backsight reading gives us the level of the instrument station.
RL of the instrument station (IS) = Level of IS + H.I
RL(IS) = 1522.75 m + 1.55 m
RL(IS) = 1524.30 m A.M.S.L.
Foresight (FS):
The foresight reading gives us the level of the top of the building.
RL of the top of the building (Top) = RL of IS - Vertical angle of inclination
RL(Top) = RL(IS) - Angle FS
RL(Top) = 1524.30 m - 79° 00' 10"
Angle FS in decimal degrees = 79 + (0 / 60) + (10 / 3600) = 79.0028°
RL(Top) = 1524.30 m - 79.0028°
RL(Top) = 1445.2972 m A.M.S.L.
Bottom (Base) of the building:
To find the level of the bottom of the building, we need to use the vertical angle of inclination and subtract it from the level of the top of the building.
RL(Bottom) = RL(Top) - Vertical angle of inclination
RL(Bottom) = RL(Top) - Angle BS
RL(Bottom) = 1445.2972 m - 264° 18' 55"
Angle BS in decimal degrees = 264 + (18 / 60) + (55 / 3600) = 264.3153°
RL(Bottom) = 1445.2972 m - 264.3153°
RL(Bottom) = 1180.9819 m A.M.S.L.
Therefore, the level of the top of the building is approximately 1445.30 m A.M.S.L., and the level of the bottom (base) of the building is approximately 1180.98 m A.M.S.L.
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