Calculating Pool Depth: An Angle of 14o

In summary, the question is asking for the depth of a pool filled with water, with a ray of light originating at the bottom left corner and exiting at the far upper right side at an angle of 14 degrees. To find the depth, the equation n1sintheta=n2sintheta is used, with theta being the angle of refraction.
  • #1
yekidota
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Homework Statement


There is a pool 5.50 meter wide filled to the top with water, A ray of light originates at the
bottom left corner of the pool leaves the far upper right side at an angle of 14o. The question is asking for the depth of the pool



Homework Equations



n1sintheta=n2sintheta

The Attempt at a Solution



1sin14=1.33sintheta
tetha = 10.48 degree
using Tan the depth comes to 1.01m

My question is do i use 14 for the angle or do I have to do 90-14, and if yes why?
 

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  • #2
You have to use (90 - 14) which is the angle of refraction.
 

1. How do you calculate the pool depth at a 14o angle?

The pool depth at a 14o angle can be calculated by using basic trigonometric functions such as sine, cosine, and tangent. First, measure the distance from the edge of the pool to the bottom at the 14o angle. Then, use the formula tan(14) = opposite/adjacent to determine the depth.

2. Is the pool depth the same at all angles?

No, the pool depth will vary depending on the angle at which it is measured. The depth will be greater at steeper angles and shallower at flatter angles.

3. How do you measure the angle of a pool?

The angle of a pool can be measured using a protractor or an angle measuring tool. Hold the tool at the edge of the pool and align the base of the tool with the bottom of the pool. The angle can then be read on the tool.

4. Can the pool depth be calculated for irregularly shaped pools?

Yes, the pool depth can still be calculated for irregularly shaped pools using the same trigonometric functions. However, the depth may vary at different points in the pool due to the irregular shape.

5. Does the pool depth affect the water pressure?

Yes, the pool depth does affect the water pressure. The deeper the pool, the greater the water pressure at the bottom due to the weight of the water above. This is important to consider when designing a pool to ensure it can withstand the pressure.

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