Submerged Diver Apparent Height

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The discussion revolves around calculating the apparent height of a submerged diver, who is 151 tall, from a viewpoint directly above her on a diving board. The key concept is the difference between apparent depth and real depth, which affects how tall the diver appears. The participant expresses confusion over the lack of information regarding the angle of observation and the depth of the water, making it difficult to apply the relevant equations. They mention the formula for calculating the diameter of the visible circle in water but struggle to connect it to the problem at hand. The conversation highlights the need for clarity on apparent depth and the appropriate formulas for solving such optical problems.
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Homework Statement


A 151 -tall diver is standing completely submerged on the bottom of a swimming pool full of water. You are sitting on the end of the diving board, almost directly over her. How tall does the diver appear to be?

Homework Equations


n1sin theta1= n2 sin theta2 ??

The Attempt at a Solution


Honestly I do not even know where to begin... so any help will be greatly appreciated!
 
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What do you know about apparent depth? The diver's head is at an apparent depth and so are her feet. The difference between apparent depths is the diver's apparent height.
 
So after reading my book I found something that talks about a diver. The problem is it talks about finding the diameter of the circle of which you can see in the water. D= 2h tan theta c. Theta c= sin^-1 (1.00/1.33) for the water air boundary and h is the depth of water. This is all I can find even close to the problem in the book. In the problem however we are not given any information about the angle just that he is right above. If he is at at 90 degree angle I don't see how he can tell a height at all. He would just see his head. I don't have any information about the depth of the water or the apparent depth of the diver. So I am really frustrated with this problem.
 
THANK YOU SO MUCH. I seriously have tried everything! I am really confused on why my book does not have the formula in it. But thank you again.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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