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10 days ago

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A new obstacle course is home to several new types of challenging obstacles. One such obstacle is traversing a 15-stair staircas

e. To make it more challenging, the stairs are not uniformly spaced. Rather, the vertical space between consecutive stairs for the first 10 stairs is 113 feet and the vertical space for the last 5 stairs is 134 feet. What is the total vertical distance traveled ascending and descending the entire 15-stair staircase?

2 answers:

Zina [9.1K]10 days ago

8 0

Answer:

The vertical distance traveled both ascending and descending the entire 15-step staircase totals 44.167 feet.

Step-by-step explanation:

The vertical distance for the first 10 stairs is given as

$1\frac{1}{3}=\frac{3+1}{3}=\frac{4}{3}$

Total vertical distance for the first 10 stairs is

$\frac{4}{3}\times 10=\frac{40}{3}$

The vertical space for the last 5 stairs is

$1\frac{3}{4}=\frac{4+3}{4}=\frac{7}{4}$

Total vertical distance for 5 stairs is

$\frac{7}{4}\times 5=\frac{35}{4}$

The total vertical distance of 15 stairs is

$Total=\frac{40}{3}+\frac{35}{4}=\frac{265}{12}$

Total vertical distance traveled when going up and down the entire 15-step staircase is

$\frac{265}{12}\times 2=\frac{265}{6}\approx 44.167$

Thus, the total vertical distance traveled when going up and down the entire 15-step staircase is 44.167 feet.

Inessa [8.9K]10 days ago

8 0

Answer: The total vertical distance traveled when going up and down the entire 15-step staircase amounts to 494 feet.

Step-by-step explanation:

Given that

The total number of stairs in a staircase is 15

Vertical distance between each stair for the first 10 stairs = 113 feet

Vertical distance between each stair for the last 5 stairs = 134 feet

The total vertical distance traveled when ascending the entire 15-step staircase is calculated as

$113+134\\\\=247\ feet$

Thus, the total vertical space traveled up and down the entire 15-step staircase amounts to 494 feet.

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