The angel of banking ' $\theta$ ' for a meter gauge railway line is $\theta=\tan…

The angel of banking ' $\theta$ ' for a meter gauge railway line is $\theta=\tan ^{-1}\left(\frac{1}{20}\right)$. What is the elevation of the outer rail above the inner rail?
  1. 20 cm
  2. 10 cm
  3. 0.2 cm
  4. 5 cm

Solution

$\begin{aligned} & \tan \theta=\frac{1}{20}=\frac{\mathrm{h}}{1} \\ & \therefore \mathrm{h}=\frac{1}{20} \mathrm{~m}=0.05=5 \mathrm{~cm}\end{aligned}$

Asked in: MHT CET 2021 (21 Sep Shift 2)

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