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The width of a stream is determined with the help of triangulation method. Arrange the followig steps in a sequence of explain the process to find the width. (A). Fix a certain startionary object like tree on the other bank of the strem. (B) Take two pins (P_(1) and P_(2)) an fix P_(1) and P_(2) at one vertex of the drawing board such that pins and tree are on the same straight line. (C) Select two positions (say A and B) on the ground and the horizontal distance between them is noted. Let it be 'D' m. (D) Repeat the same process at position 'B' with other two pins (P_(3) and P_(4)) at other vertex of the drawing board. ltBrgt (E) Take a drawing board and paste a white paper on it. (F). Fix the board at position 'A' such that one edge is directed along 'AB'. (G) Now, produce two straight lines and let meet at point 'P'. Complete the triangle with P, P_(1) and P_(3). Measure the distnace between P_(1) and P_(3) say d. Then (D)/(d) gives the actual distance on ground for every oen cm on the drawing board. (H) Now the width of the river will be equal to the distance from midpoint of P_(1) and P_(3) (let it be P_(5)) ad P multiplied by (D)/(d).

Answer»

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Solution :Take a DRAWING borad ad paste a white paper on it. Fix a stationary object like tree on the other BANK of the stream and select two positions (say A and B) on the GROUND and measure the horizontal DISTANCE between them and note it as 'D' m. Fix the drawing board at 'A' with its edge DIRECTED along positions 'AB' and take two pins `(P_(1) and P_(2))` and fix them at one vertex of the board such that `P_(1),P_(2)` and tree are on theh sae straight line. Repeat the sae process at position 'B' with other two pins `(P_(3) and P_(4))` at other vertex of the drawing board. Extend these two straight lines and let them intersect at point 'P'. Complete the triangle with `P_(1),P_(3) and P`. let the distance between `P_1 and P_(3)` pins be 'd'. Then D/d gives the amount of distance for every one cm on the board. then the width of the river will be equal to the distance from the midpoint of `P_(1) and P_(3)` (let it be `P_(5)`) and P multiplied by D/d.


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