Math Help: Checking IN cos and sin Answers

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The discussion focuses on verifying calculations for cosine and sine functions. A user seeks assistance in confirming their answers and provides a link to their work. Respondents note that the user's calculator is set to radians instead of degrees, which may affect the accuracy of the results. The importance of ensuring the correct mode on the calculator is emphasized for accurate trigonometric calculations. Overall, the thread highlights the need for proper settings in mathematical tools when solving trigonometric problems.
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Could someone take a ganders at this and see if i have it right please? i just want to make sure i got cos and sin right. if you could do the question and see if you get the same it would be great. thanks for your help
i just put a link to the page i uploaded it to, i don't know how to downsize the pic and i don't want to slow down the browser, i hope this is ok
http://tinypic.com/view.php?pic=bhnk89&s=5
 
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can anyone help with this please?
 
It looks like your calculator is in radians mode. You need to switch to degrees mode.
 
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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