Have i made it right determining the heights?

[trina1990]

please help me solve out the sort of problem no:4...

i tried to solve it running " stellarium" & found that for that latitude on "summer solstice" the sun reaches altitude of approximately 70 degree & i used

'Tan 20=x/3 & derived x=1.09m

consequently for winter solstice sun reaches the altitude of approximately 20 degree

then "tan 20=h1/4.5
=1.63 , so the height of the window should be (3-1.63)=1.37m

please someone verify my answers & if it's supposed to be wrong, give me some initial instructions to walk through the problem...
thanks..

 

[AndyW]

Hello there,

Thank you for reaching out for help with problem no. 4. It seems like you have made some good progress in solving the problem using the software Stellarium. However, there are a few things that need to be clarified and verified in your solution.

Firstly, it is important to note that the altitude of the sun on the summer solstice will vary depending on the latitude. Therefore, it would be helpful to know the specific latitude that you used in your calculations. Additionally, it would be good to clarify whether you used the altitude of the sun at noon or at a specific time during the day.

Secondly, your calculation for the height of the window on the winter solstice seems to be based on the assumption that the height of the sun on the winter solstice is also 20 degrees. However, this may not be the case for all latitudes. It would be helpful to verify this assumption and make any necessary corrections to your solution.

Lastly, it would be beneficial to provide a more detailed explanation of the steps you took in your calculations. This can help to identify any potential errors and ensure that the solution is accurate.

I hope these initial instructions and clarifications will help you to further solve the problem. If you have any further questions or need additional assistance, please do not hesitate to reach out.

Best of luck with your problem-solving!