We appreciate your visit to Calculate the level of the top and the bottom base of the building given the following The level of the instrument station is 1522 75. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
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.
Learn more about Instrument Station click;
https://brainly.com/question/14938380
#SPJ4
Thanks for taking the time to read Calculate the level of the top and the bottom base of the building given the following The level of the instrument station is 1522 75. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
