Question

The slope of a staircase in a home should not exceed 0.9. What is the shortest horizontal distance needed for a 1.8m high staircase? Show your work.

Answer 1

Step-by-step explanation:

Given The slope of a staircase in a home should not exceed 0.9. What is the shortest horizontal distance needed for a 1.8 m high staircase? Show your work.

• We need to find the shortest horizontal distance needed for 1.8 m high staircase.
• Given the slope of the staircase in a home should not exceed 0.9 m.
•          so slope ≤ 0.9
• So this can form a right angle triangle and so we have
•               So tan theta = opposite side / adjacent side
•               Now slope tan theta = 0.9 and opposite side is 1.8. Now we need to find the adjacent side or the horizontal distance.
•             So 0.9 = 1.8 m /horizontal distance  
•         So horizontal distance x 0.9 = 1.8
•        Or horizontal distance = 1.8 / 0.9
•                                                  = 2 m
• Therefore the shortest horizontal distance needed will be 2 m

Reference link will be

https://brainly.in/question/20005504