2) 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 36.8 degrees and there are 16 feet of horizontal space total for each of the landings combined, calculate the following questions (you must show all work to receive full credit):
a) What is the landing space per step? (In inches rounded to the nearest tenth)
sin(90 - 36.8)/16 = sin(53.2)/16 = sin(36.8)/x. x*sin(53.2) = 16*sin(36.8). x = 16*sin(36.8)/sin(53.2) = 12 feet
b) Find the vertical rise from the 1st floor to the 2nd floor to the nearest foot. 1 foot per step.