# Calculate zenith distance given latitude and time of year?

## Homework Statement

Calculate the zenith distance at noon in a location whose latitude is 40° North on Dec 22 (winter solstice)

2. Homework Equations + information

I know the zenith distance is the angle between the sun and the zenith, and that during the winter solstice the northern hemisphere is "farther" (By this I mean the angle is greater) away.

## The Attempt at a Solution

See diagram:

Just want to know if I did this correctly. Thanks

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