Please help, I'm truly stumped on this one :(
Indoor steps generally are steeper and have smaller landings. A staircase has a 9 inch vertical rise per step to get to the second floor of a house. If the angle of elevation is 48.3 degrees and there are 16 feet of horizontal space total for each of the landings combined, calculate the following questions:
a) What is the landing space per step? (In inches rounded to the nearest tenth)
b) Find the vertical rise from the 1st floor to the 2nd floor to the nearest foot.

Question

Please help, I'm truly stumped on this one :(
Indoor steps generally are steeper and have smaller landings.  A staircase has a 9 inch vertical rise per step to get to the second floor of a house.  If the angle of elevation is 48.3 degrees and there are 16 feet of horizontal space total for each of the landings combined, calculate the following questions:
a) What is the landing space per step?  (In inches rounded to the nearest tenth) 
b) Find the vertical rise from the 1st floor to the 2nd floor to the nearest foot.

mathmale · Answer

You'll need to draw the best scale model you can to represent this situation.

Construct a 48.3 degree angle and a horizontal side ("adjacent side") of length 16 feet:|dw:1452821112896:dw|

mathmale · Answer

You can edit my beginning drawing if you like.  Click on the pencil icon in the upper, right-hand corner of my drawing.  this will create a new screen with a copy of that drawing.  You can edit the new screen.  What do you need to know to proceed?

anonymous · Answer

|dw:1452822051806:dw| Alright I think that's all of the information I know. So right no I'm trying to figure out what the landing space per step is. @mathmale