grumpygrl
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Please show all work with the answers please
I am terrible at math !
A staircase of steps in a swimming pool has a vertical rise of 14 inches per step and a landing of 20 inches. Answer the following questions showing each step of your work:

a) What is the angle of elevation (rounded to the nearest whole degree)?

b) If the landing of each step is changed to 17 inches and the elevation of each step to 21 inches, what is the new angle of elevation for the staircase (rounded to the nearest whole degree)?

Respuesta :

nobillionaireNobley
Part A

The angle of elevation of the staire case is given by

[tex]Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\ \\ =\tan^{-1}{ \frac{14}{20} }\approx35^o[/tex]



Part B:

If the landing of each step is changed to 17 inches and the elevation of each step to 21 inches, the new angle of elevation for the staircase is given by

[tex]Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\ \\ =\tan^{-1}{ \frac{17}{21} }\approx39^o[/tex]

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