Question

What is the measure of the smaller angle formed by the minute and hour hands of a clock at 3:47 ?

Answer 1

less than 180 deg but not exactly 120 degree i need the exact

Answer 2

http://www.mathsisfun.com/angles.html


Play the small video given,It will show you.

Answer 3

155 degree? the other hook is not moving haha can u check

Answer 4

\[\angle = \frac{ 47 - (15+\frac{ 47 }{60 } \times 5) }{ 60 } \times 360 \]

I think this should give the angle. I'll try to explain this formula...

Answer 5

If you take the simpler case, where the hour hand would be right on the 3, then the formula for the angle becomes:\[\frac{ 47-15 }{ 60 } \times 360\]

Answer 6

A whole hour is 360 degrees, or 60/60 * 360. 30 minutes would be 30/60 * 360, or 180.

Here we have the minute hand at 47, and the hour hand is between the 3 and the 4. To find exactly where the hour hand is, start at :15, and add 47/60 * 5 (since there's 5 notches/minutes between :15 and :20 on the clock-face), so the hour hand is right at :18.91666 (or almost 19 minutes past the 12 o'clock).

so the angle = (45-18.91666)/60 * 360 degrees.

Answer 7

Turns out there's entire webpages dedicated to clock-angle problems:

http://en.wikipedia.org/wiki/Clock_angle_problem

https://sites.google.com/site/mymathclassroom/trigonometry/clock-angle-problems/clock-angle-problem-formula

The formula they give on these sites gives the same angle as mine does. Mine just looks uglier.

Answer 8

i get 156.5 deg

Answer 9

from your formula

Answer 10

I think you made a mistake, should be... 168.5

Answer 11

(45-18.91666)/60 * 360 degrees. from this?

Answer 12

oh, sorry the 45 there should be 47. It's 3:47 not 3:45. The other formula i gave was correct.

Answer 13

hahaha i didnt notice

Answer 14

168.5 correct 2x