Question

What is the measure, in degrees, of the acute angle formed by the hour hand and the minute hand of a 12-hour clock at 6:48?

Answer 1

angle of hour hand: each 12 hours, it goes 360 deg
Angle hour hand= 360*(6 48/60)/12

Angle minute hand: each hour it goes 360 det
Angle Minute Hand: 360*(48/60)

now subtract one angle from the other, that is the difference in angles.

Answer 2

that was wrong

Answer 3

We know that at 6:00 they are 180 degrees from each other. Every minute, the hour hand moves 1/2 of a degree, and the minute hand moves 6 degrees. So in 48 minutes, the hour hand moves 24 degrees and the minute hand moves 288 degrees. 288-180-24=84. So, 84 degrees.

Answer 4

Thank you @yy.julie!! I was having problems with this