You have completed the design of a new biofilter. Your design calls for the inst

Question

You have completed the design of a new biofilter. Your design calls for the
installation of a sign adjacent to the biofilter that describes the biofilter and its
importance in sustainable design. Your design calls for the center of the post for the
sign to be installed at [3899666.17, 11479887.94, 554.12] (Virginia State Plane
South coordinates – given as N,E,Z).

You are tasked with stakeout for the sign location (i.e. drive a stake at this
coordinate to tell the contractor where to place the sign). Using the existing control
points: C1 [3899686.752, 11479882.287, 554.623], and C2 [3899656.989,
11479881.626, 554.087], you set-up your total station directly over point C2 (with
height of instrument of 4.2’), and then backsight to C1, zeroing the horizontal angle
there (horizontal angle is turned clockwise). What is the “shot” (i.e. the slope
distance, vertical angle, and horizontal angle) you need to take in order to locate the
stake. You have set the height of your prism to be 3.1’.

Explanation / Answer

we have existing control points = C1[3899686.752,11479882.287,554.623]

C2[3899656.989,11479881.626,554087]

we have to setup our total station directly over the point C2

we need to find the shot (slope distance ,vertical angle and horizontal angle)

for SLOPE DISTANCE

slope distance ,m = (rise / run) x 100

we rise = 4.2' and run = 3.1

=>to find the slope distance

= (4.2 / 3.1)x100 => (1.3) x100

=> 130'

so the slope distance we got is 130'.

we assume coordinates of points C1 and C2 are x,y,z and x1,y1,z1

now the vertical angle

to find the vertical angle

verical angle are those whose sides are formed by the intersection of two lines

to find angle = height / ( length +100 ) = 4.2 /(3.1+100)

vertical angle = 4.2 /(103.1)

vertical angle = 0.04o

and for the horizontal angle

( hieght / legnth ) +100

(4.2 / 3.1) +100 = 1.3 +100

= 101.3o

so the horizontal angle = 101.3o

so the shot we got is (130,0.04,101.3)

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