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Answer :

The angle in radians is 1/60.

  • The corresponding angle should describe a length of 1 cm at a distance of 60 cm from the point of view and that is the sole idea behind this question.
  • To calculate the angle numerically a formula is needed and that should be [tex]s = r \theta[/tex] in which [tex]s[/tex], [tex]r[/tex] & [tex]\theta[/tex] represent the length described at the given distance from the view, that distance just mentioned and the angle the [tex]s[/tex] length subtends at the viewing point.
  • Therefore, simply substituting the available data in that formula yields the required result.

                  [tex]\begin{aligned}\\\small s &= r\theta \\\\\small 1\,cm &=\small 60\,cm\times \theta \\\\\small \theta &=\small \frac{1}{60}\,\text{radians}\end{aligned}[/tex]

  • Radian is a dimensionless quantity.