A cylindrical storage tank has a radius of 5m and a height of 18m. A staircase allowing access from the ground to the top of the tank circles the tank once. Determine the angle of inclination of staircase to the nearest degree.

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- May 5th 2009, 07:04 PMdavedavehow to do this one with trigonometry
A cylindrical storage tank has a radius of 5m and a height of 18m. A staircase allowing access from the ground to the top of the tank circles the tank once. Determine the angle of inclination of staircase to the nearest degree.

- May 5th 2009, 07:18 PMTheEmptySet
Immagine cutting the tank long ways and rolling it out flat.

The length of the bottom is the circumference of the tank $\displaystyle C=2\pi (5)=10\pi$

The height is 18. So now the angle we want is

$\displaystyle \alpha =\tan^{-1}\left( \frac{18}{10\pi}\right) \approx 29.8^\circ$