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What time after 6:00 o'clock will the hands of the clock be perpendicular for the first time? A. 6:56.36 B. 6:16.36 C. 6:17.36 D. 6:18.36

What time after 6:00 o'clock will the hands of the clock be perpendicular for the first time? A. 6:56.36 B. 6:16.36 C. 6:17.36 D. 6:18.36

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Provide a long step-by-step solution to this problem (see attached). 
Make your solution with the given and sketch. The solution should be very clear to read, and easy to understand. 

What time after 6:00 o'clock will the hands of the clock be perpendicular for the first time? A. 6:56.36 B. 6:16.36 C. 6:17.36 D. 6:18.36
Transcribed Image Text:What time after 6:00 o'clock will the hands of the clock be perpendicular for the first time? A. 6:56.36 B. 6:16.36 C. 6:17.36 D. 6:18.36
Expert Solution
Step 1

As we all know that the minute hand rotates 360o in 1 hour that is 60 minutes

Which means in 1 minutes, Minute hand moves = 360o60 = 6o

In 1 minute, Minute hand moves 6o

Advanced Math homework question answer, step 1, image 1

 

Similarly, Hour Hand rotate 360o in 12 hour

Which means in 1 hour, Hour hand moves = 360o12 = 30o

So, in 1 minutes, Hour hand moves = 30o60 = 0.5o

In 1 minutes, Hour hand moves = 0.5o

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