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Subtract: 36^(@) 41' 52'' from 75^(@) 1...

Subtract: `36^(@) 41' 52''` from `75^(@) 19' 13''`

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The correct Answer is:
To solve the problem of subtracting `36° 41' 52''` from `75° 19' 13''`, we will follow these steps: ### Step 1: Write down the values We have: - First value: `75° 19' 13''` - Second value: `36° 41' 52''` ### Step 2: Align the values for subtraction We will align the degrees, minutes, and seconds for subtraction: ``` 75° 19' 13'' - 36° 41' 52'' ``` ### Step 3: Start with seconds We cannot subtract `52 seconds` from `13 seconds` because `13 < 52`. So, we need to borrow from the minutes. ### Step 4: Borrow from minutes 1. Borrow 1 minute from `19 minutes`, which becomes `18 minutes`. 2. Add `60 seconds` to `13 seconds`, making it `73 seconds`. Now we have: ``` 75° 18' 73'' - 36° 41' 52'' ``` ### Step 5: Subtract seconds Now we can subtract the seconds: - `73 seconds - 52 seconds = 21 seconds` ### Step 6: Subtract minutes Now we subtract the minutes: - `18 minutes - 41 minutes` cannot be done directly since `18 < 41`. So, we need to borrow from the degrees. ### Step 7: Borrow from degrees 1. Borrow 1 degree from `75 degrees`, which becomes `74 degrees`. 2. Add `60 minutes` to `18 minutes`, making it `78 minutes`. Now we have: ``` 74° 78' 73'' - 36° 41' 52'' ``` ### Step 8: Subtract minutes Now we can subtract the minutes: - `78 minutes - 41 minutes = 37 minutes` ### Step 9: Subtract degrees Finally, we subtract the degrees: - `74 degrees - 36 degrees = 38 degrees` ### Step 10: Combine the results Putting it all together, we get: - Final result: `38° 37' 21''` ### Final Answer The result of subtracting `36° 41' 52''` from `75° 19' 13''` is `38° 37' 21''`. ---
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