a medida do menor ângulo formado pelos ponteiros de um relógio quando ele marca 8 horas e 30 minutos é ?
What is the measure of the smallest angle formed by the hands of a clock when it shows 8 hours and 30 minutes?
Answer:
When the clock shows 8:30, the hour hand is pointing between 8 and 9, while the minute hand points at 6. To calculate the angle between the hands of the clock, we can use the formula:
Angle = |(30*H - (11/2)*M)|,
where H is the hour in 1-12 range and M is the minute in 0-60 range.
Plugging in the values:
H = 8,
M = 30,
Angle = |(30*8 - (11/2)*30)|
Angle = |(240 - 165)|
Angle = |75|,
The measure of the smallest angle formed by the hands of the clock at 8:30 is 75 degrees.