Comeback Question

Geometry Level 3

What is the angle between two clock hands at 5:51? (Round to the nearest integer)


The answer is 131.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

The correct answer is 130.5 ° 130.5\degree .

Richard Desper
May 28, 2020

The minute hand travels 6 6 degrees per minute. At nine minutes before the hour it will be 54 54 degrees below vertical.

The hour hand travels at 1 12 \frac{1}{12} th the speed of the minute hand: at a rate of 0.5 0.5 degrees per minute. At nine minutes before 6 6 o'clock, the hour hand will be 4.5 4.5 degrees to the right of the 6 6 at the bottom of the clock face.

The total angle is 180 54 + 4.5 = 130.5 180 - 54 + 4.5 = 130.5 degrees.

4 pending reports

Vote up reports you agree with

×

Problem Loading...

Note Loading...

Set Loading...