Calculating Pool Depth with 48 Degrees Depression Angle

Click For Summary
SUMMARY

The discussion focuses on calculating the visible depth of a swimming pool when viewed at a depression angle of 48 degrees. Given that the pool's actual depth is 2.6 meters, the observer's perception of depth is influenced by the angle of view. The problem highlights the optical illusion created by varying depression angles, which can lead to misconceptions about the pool's true depth. The discussion emphasizes the importance of understanding geometric principles in visual perception.

PREREQUISITES
  • Basic understanding of geometry and angles
  • Knowledge of trigonometric functions, specifically tangent
  • Familiarity with optical illusions and perception
  • Ability to interpret diagrams and visual aids
NEXT STEPS
  • Research trigonometric calculations involving angles and depth perception
  • Study the principles of optical illusions in physics
  • Explore geometric visualization techniques for better understanding
  • Learn about the effects of viewing angles on perception in various contexts
USEFUL FOR

Students studying physics, educators teaching geometry, and anyone interested in the principles of visual perception and optical illusions.

arvin305
Messages
2
Reaction score
0
An observator is looking at a coin that is located on a swimming pool's floor with a depression Angle of 48 degrees. Knowing that the swimming pool's depth is 2.6 metres, calculate the depth that the observator can see.

(Usually when you look at a swimming pool from with a smaller depression angle, you have the impression that the swimming pool isn't deep even though it is, that is the situation in this problem)

P.S. I study in a french school in Quebec, if you don't understand something i said please tell me.

Here is an image that I made to help myself understand the problem

http://img503.imageshack.us/img503/340/physics7qo.jpg
 
Last edited by a moderator:
Physics news on Phys.org
Oh , yeah the diagram i drew can be wrong... As i said i made it myself to understand this question.
 

Similar threads

High School Apparent Depth - What remains constant?
  • · Replies 5 ·
Replies
5
Views
3K
Optimizing Dolphin Tracking: Calculating the Angle for Dart Gun Accuracy
  • · Replies 3 ·
Replies
3
Views
2K
Solving the Pool Depth with Refraction in Water
  • · Replies 10 ·
Replies
10
Views
18K
Calculate a radius of a circle on a screen
  • · Replies 3 ·
Replies
3
Views
1K
Calculating the Depth of a Cylinder Using Refraction
  • · Replies 7 ·
Replies
7
Views
3K
Angle of rarefraction in a pool
  • · Replies 3 ·
Replies
3
Views
2K
How does refraction of light in water affect the perceived location of objects?
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Calculating the degree of polarization of reflecting light
  • · Replies 2 ·
Replies
2
Views
2K
Determine the depth of a swimming pool filled with water
  • · Replies 8 ·
Replies
8
Views
11K
Critical angle: find the depth of the fish looking up
  • · Replies 4 ·
Replies
4
Views
3K