What is the degree measure of the smaller angle between the hour hand and the minute hand of a clock at exactly 2:30 p.m. on a 12-hour analog clock?

Lightning
Sep 15, 2018

#1**+1 **

Use this formula to calculate the angle between the two hands of a clock.

Abs(1/2 * (60*H) - (11*M)) =, whrere H=Hours, M=Minutes.

Abs(1/2 * ((60*2) - (11*30)) =

Abs(1/2 * (120 - 330) =

**Abs(1/2 * (210)=105 degrees**

Guest Sep 15, 2018

#2**+2 **

Hour hand moves 360 degrees in 12 hours .... 30 degrees per hour or 15 degrees per 1/2 hour

so 2:30 would be 5 1/2 hour segments 5 x 15 = 75 degrees= angle of hour hand. The MINUTE hand will be at 180 degrees (pointing directly downwawrd) 180 degrees - 75 degrees = 105 degrees.

ElectricPavlov
Sep 15, 2018

#3**+1 **

What is the degree measure of the smaller angle between the hour hand and the minute hand of a clock at exactly 2:30 p.m. on a 12-hour analog clock?

At 2:30 the big hand is on the 6 hour mark and the little hand is half way between the 2 and the 3

The clock is divided into 12 hourly segments so each segment is 360/12 = 30 degrees

the hands are 3.5 segments apart

3.5*30 = 105 degrees

Melody
Sep 16, 2018