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What is the landing space per step

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Reference no: EM131590263

Question:

1) An indoor staircase has a 6 inch vertical rise per step to get to the second floor of the house. If the angle of elevation is 44 degrees and there are 15 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work:

a) What is the landing space per step (in inches, rounded to the nearest tenth of an inch)?

b) Find the vertical rise from the 1st floor to the 2nd floor (in feet, rounded to the nearest tenth of a foot).

2) An outdoor staircase has a total vertical elevation of 11 feet from the road level to the front entrance of a building. If the angle of elevation is 37 degrees and the landing of each step is 8 inches, answer the following questions showing each step of your work:

a) What is the vertical rise per step (in inches, rounded to the nearest whole inch)?

b) Find the number of steps needed to climb from road level to the front entrance.

3) 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)?

Verified Expert

The staircase design in terms of step size, number of steps, elevation and incline is calculated. Different scenarios are evaluated. Given the width of the steps, height of the steps or number of steps, incline, depth, height one can design the staircase with the use of simple trig formula.

Reference no: EM131590263

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