Anna looks at a clock at 11:05. When she looks at the clock for a second time during the same hour, the minute hand has rotated [tex]270^{\circ}[/tex]. At what time does Anna look at the clock for the second time?

To determine the time Anna looks at the clock for the second time, we need to consider the rotation of the minute hand.

The minute hand on a clock completes a full rotation (360°) in 60 minutes, or 1 hour. So, if the minute hand has rotated 270°, it means it has traveled 270° out of the total 360°.

To find the elapsed time, we can set up a proportion:

270° / 360° = x / 60 minutes

Cross-multiplying, we get:

360x = 270 * 60

Dividing both sides by 360, we find:

x = (270 * 60) / 360

Simplifying the equation further:

x = 45 minutes

Therefore, the minute hand has rotated 270° in 45 minutes. Adding this to the initial time of 11:05, we find that Anna looks at the clock for the second time at:

11:05 + 45 minutes = 11:50

So, Anna looks at clock for second time at 11:50.

Learn more about elapsed time from the given link

https://brainly.com/question/31287589

#SPJ11