73.6k views
5 votes
(I NEED THIS DONE ASAP PLEASE) Lena wants to plant a new lawn, but she knows that it’s not safe to run a mower on a hill with a slope ratio steeper than 1 to 3 (Δy = 1, Δx = 3). She has two hills in her yard. Hill A rises 4 feet and has a horizontal distance of 85 feet. Hill B rises 75 feet and has a horizontal distance of 200 feet. On which hill(s) can Lena safely plant her lawn? Justify your reasoning clearly

User SpeziFish
by
5.2k points

1 Answer

3 votes

Answer:

  • Hill A

Explanation:

Steepness of hill A:

  • 4/85 < 1/3

Steepness of hill B:

  • 75/200 = 3/8 > 1/3

The hill A is less sloped so it is safer to lawn plant

User Mateech
by
4.7k points