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Juanita's fingertip is 1 centimeter wide and her arm is 60 cm long. what angle, in radians, does her fingertip span in her field of view? (use the formula you chose in the previous step.)

Sagot :

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.