Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

What is the angle between the hour and minute hand when it is 4:20?

Sagot :

[tex]Look\ at\ the\ picture.\\\\\beta=360^o:12=30^o\\\\\frac{20min}{1h}=\frac{20min}{60min}=\frac{1}{3}\\\\\alpha=\frac{1}{3}\cdot30^o=10^o\leftarrow answer[/tex]
View image Аноним
AL2006
The arc between the 4 and the 5 is (360/12) = 30 degrees.

The hour hand takes a full hour to creep from the 4 to the 5, so it moves
at the rate of ( 30 degrees / 60 minutes ) = 1/2 degree per minute.

In 20 minutes, the hour hand moves (20 x 1/2) = 10 degrees.

At 4:20 , the minute hand is right square on the 4, and the hour hand
is 10 degrees ahead, on its way to the 5 .

The angle between them is 10 degrees. 
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.