In the sentence "faire de la randonnée," the correct conjugation of the verb "vouloir" in passé composé is "J'ai voulu faire de la randonnée."
Here's a breakdown to help you understand why this is the correct answer:
1. The verb "vouloir" means "to want" in English.
2. To form the passé composé (past tense) in French, you need to use the auxiliary verb "avoir" (to have) and the past participle of the main verb "voulu" (wanted).
3. The subject pronoun "Je" (I) is followed by the auxiliary verb "ai" (have) to indicate the action is performed by the subject.
4. Finally, the past participle "voulu" (wanted) is added after the auxiliary verb to complete the construction of the passé composé.
Therefore, "J'ai voulu faire de la randonnée" is the correct conjugation for the verb "vouloir" in passé composé in this sentence.