Solution: What time after 5 o'clock will the hour hand and the minute hand be perpendicular

At exactly what time after 5 o'clock will the hour hand and the minute hand be perpendicular for the first time?

Problem Statement:

At exactly what time after 5 o'clock will the hour hand and the minute hand be perpendicular for the first time?

After 5 o'clock will the hour hand and the minute hand be perpendicular at 5:10 and 54 seconds.

Solution:

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