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Measurement, STD2 M6 2016 HSC 26d

The diagram shows a block of land `ABCD` that has been surveyed. All measurements are in metres.
 

2ug-2016-hsc-q26_2
 

Calculate the length of `AB`, correct to the nearest metre.  (2 marks)

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`46\ text{m}`

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2ug-2016-hsc-q26d-answer1

`text(Using Pythagoras,)`

`AB` `= sqrt(32^2 + 33^2)`
  `= 45.967…`
  `= 46\ text{m  (nearest m)}`

Filed Under: Bearings & Field Surveys, Bearings and Radial Surveys (Std2), M3 Right-Angled Triangles (Y12) Tagged With: Band 4, smc-1103-10-Pythagoras, smc-803-40-Other

Measurement, STD2 M6 2006 HSC 26a

Daniel conducts an offset survey to sketch a diagram, `ABCD`, of a block of land.

Daniel walks from `A` to `C`, a distance of 62 m.

When he is 15 m from `A`, he notes that point `D` is 25 m to his right.

When he is 57 m from `A`, he notes that point `B` is 20 m to his left.

This is his notebook entry.

  1. Draw a neat sketch of the block of land. Label `A, B, C` and `D` on your diagram.  (1 mark)

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  2. Calculate the distance from `C` to `D`. (Give your answer to the nearest metre.)  (2 marks)

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  1.  
  2. `text{53 m (nearest m)}`
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i.   

 

ii.  `text(Using Pythagoras:)`

`CD^2` `= 47^2 + 25^2`
  `= 2834`
`:. CD` `= 53.235…`
  `= 53\ text{m  (nearest m)}`

Filed Under: Bearings & Field Surveys, Bearings and Radial Surveys (Std2) Tagged With: Band 4, Band 5, smc-803-40-Other

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