Question

Which hill described in the table is the steepest and why?

Street. Horizontal distance vertical
(ft). Rise of
Street (ft)


Dixie hill. 100. 60
Bell hill. 100. 50
Liberty hill 100. 20

A. Dixie hill; it rises 5 feet for every 3 feet of horizontal travel.
B. Dixie hill; rises 3/5 foot for every 1 foot for every 1 foot of horizontal travel.
C. Bell hill; it rises 2 feet for every 1 foot of horizontal travel.
D. Liberty hill; it rises 1 foot for every 5 feet of horizontal travel.

Answer 1

the answer is dixie hill A because 5 feet every 3 feet is pretty steep compared to 1 foot every 5 feet.

Answer 2

Option: B

Dixie hill; rises 3/5 foot for every 1 foot for every 1 foot of horizontal travel.

Explanation:

A slope with a greater absolute value indicates a steeper line.

so, we will find the slope of each of the hill to check the steepness of the road.

1)

Dixie Hill

Street Horizontal distance vertical Distance

Dixie hill 100 60

The slope of the hill is:

Vertical distance/ Horizontal ditance

= 6/10=3/5

2)

Street Horizontal distance vertical Distance

Bell hill 100 50

slope=1/2

3)

Street Horizontal distance vertical Distance

Liberty hill 100 20

slope=1/5

As slope of Dixie Hill is greater than the rest two.

Hence, option: B is correct.

B. Dixie hill; rises 3/5 foot for every 1 foot for every 1 foot of horizontal travel.