Find the angle between the hands of a clock at the given time, 4:30am
The angle between the hands of a clock can be calculated using the formula:
Angle = |(30 * hour - (11/2) * minutes)|
Where hour is the hour hand position and minutes is the minutes hand position.
In this case, the hour hand is pointing at 4 and the minute hand is pointing at 6.
Plugging in the values, we get:
Angle = |(30 * 4 - (11/2) * 6)|
= |(120 - 33)|
= 87
Therefore, the angle between the hands of the clock at 4:30am is 87 degrees.