High School

We appreciate your visit to At what time between 10 and 11 will the minute and hour hand be at right angles Answer in minutes up to 2 decimal places. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

At what time between 10 and 11 will the minute and hour hand be at right angles? (Answer in minutes up to 2 decimal places.)

Answer :

Final answer:

Between 10 and 11 o'clock, the minute and hour hands of a clock are at right angles at approximately 10:22. This is determined by considering the angles made by each hand and solving for the time when the difference between these angles is 90 degrees.

Explanation:

At every hour, both the minute and hour hands start at '12'. To find when these hands are at right angles between 10 and 11, we can use the concept of angular velocity. Angular velocity is the rate of change of an angle which in this case, for the hour hand, is 0.5 degrees per minute and for the minute hand, is 6 degrees per minute. When both hands are at right angles, the angle between them is 90 degrees.

Using the equation (angle made by minute hand) - (angle made by hour hand) = 90, we find that the minute hand makes an angle of 300 degrees at the start of 10 o'clock, and the hour hand makes an angle of 300 degrees + 30 degrees (0.5 degrees per minute × 60 minutes).

Substituting these values into the equation, we solve for the time and find that the hands are at right angles at approximately 10:22 on the clock.

Learn more about Angular Velocity here:

https://brainly.com/question/29557272

#SPJ4

Thanks for taking the time to read At what time between 10 and 11 will the minute and hour hand be at right angles Answer in minutes up to 2 decimal places. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada