• Support PF! Buy your school textbooks, materials and every day products Here!

Obstructed line of sight

  • Thread starter swopidopi
  • Start date
  • #1
1
0
Member advised to use the homework template for posts in the homework sections of PF.
I'm working on re-designing a restaurant by the sea. I'm a interior decorator so I know very litle about physics. Here's my question:

let's say you're in the back of a room with 90 meters of floor in front of you. You are 7 meters above ground but your eyes are only 10 cm above the floor. I've calculated that 7.1 meter up with a clear view gives you a line of sight of 9.6 km. Will i be able to see the horizon with the floor infront of me and if yes; how much of my line of sight will be obstructed by the floor. I've drawn a picture so you can understand the question better.


Thank you.



Namnlös.jpg
 

Answers and Replies

  • #2
gneill
Mentor
20,792
2,770
Hi swopidopi, Welcome to Physics Forums.

Please remember to use the template provided to format your homework help requests.

Your problem is not so much a physics problem as an exercise in math/geometry. It boils down to determining where (or if?) a ray originating at the observer's eye and just grazing the outer edge of the platform intersects curved surface of the Earth. You should be able to write equations for both the circle represent the Earth's surface and the line which incorporates the ray.

I'm working on re-designing a restaurant by the sea. I'm a interior decorator so I know very litle about physics.
A restaurant whose customers lie on the floor at the back of the room? One hopes that this but a passing fad.
 
  • #3
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
32,799
5,057
Based on the text, I shall assume this is not homework.
From the eye to the far edge of the floor, the line of sight drops .1m in 90m, or 1 in 900.
From there to the horizon, it drops 7m in 9600m, or 1 in 1370. So that settles whether the horizon will be visible.
As to how much of the view is lost, it depends how you measure it. Say it is in terms of optical angle. If you were to stand at the edge of the drop you would see 90 degrees, from vertically down to horizontal. From the given viewing height of 0.1m from the back edge, you will see less than one tenth of a degree. But I would think customers that drunk won't care.
 
  • #4
TSny
Homework Helper
Gold Member
12,411
2,846
From there to the horizon, it drops 7m in 9600m, or 1 in 1370.
Does this take into account the curvature of the earth? I get that the line of sight to the horizon would drop more than this, about 1 in 670.
 
  • #5
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
32,799
5,057
Does this take into account the curvature of the earth? I get that the line of sight to the horizon would drop more than this, about 1 in 670.
That's true, but I was not expecting it to make that much difference. Thanks for checking that.
 

Related Threads on Obstructed line of sight

  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
10
Views
3K
Replies
4
Views
911
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
6
Views
9K
Replies
7
Views
2K
Top