In this task, you need to answer 'Yes' if the given word is the longest word (in terms of number of letters) in the given sentence, else answer 'No'. Note that there could be multiple longest words in a sentence as they can have the same length that is the largest across all words in that sentence.

Example Input: Sentence: 'a man walking across a street with buses and a car'. Is 'buses' the longest word in the sentence?
Example Output: No

Example Input: Sentence: 'a cat sleeping on top of a red piece of luggage'. Is 'red' the longest word in the sentence?
Example Output: No

Example Input: Sentence: 'a woman walking down a street carrying a black umbrella'. Is 'umbrella' the longest word in the sentence?
Example Output:
Yes