To calculate the glancing angle given as 6 degrees and 5 minutes, first convert the minutes into degrees. Since there are 60 minutes in a degree, you divide 5 minutes by 60, which equals approximately 0.0833 degrees. Then, add this value to the 6 degrees: 6 + 0.0833 = 6.0833 degrees. Thus, the glancing angle is approximately 6.08 degrees.
To find the obtuse angle at 4 o'clock, we first calculate the angle between the hour and minute hands. The hour hand at 4 points to 120 degrees (4 hours × 30 degrees per hour), and the minute hand at 0 minutes points to 0 degrees. The angle between them is 120 degrees, and the obtuse angle is the larger angle, which is 360 degrees - 120 degrees, resulting in an obtuse angle of 240 degrees.
The complement of an angle is found by subtracting the angle from 90 degrees. For an angle measuring 33 degrees, 31 minutes, and 12 seconds, you first convert it to a single unit if needed. The calculation is as follows: 90 degrees minus 33 degrees 31 minutes 12 seconds equals 56 degrees 28 minutes 48 seconds. Therefore, the complement of the angle is 56 degrees 28 minutes 48 seconds.
To find the angle between the hour and minute hands of a clock at 6:50, first calculate the positions of each hand. The minute hand at 50 minutes is at 300 degrees (50 minutes × 6 degrees per minute). The hour hand at 6:50 is at 205 degrees (6 hours × 30 degrees per hour + 50 minutes × 0.5 degrees per minute). The angle between them is |300 - 205| = 95 degrees.
The measure of the angle in degrees 1 12 can be interpreted as 1 degree and 12 minutes. Since there are 60 minutes in a degree, 12 minutes is equal to 12/60 = 0.2 degrees. Therefore, the total measure of the angle is 1 + 0.2 = 1.2 degrees.
Divide (minutes) by 60 to get the same angle in (degrees).
Don't look directly at it, just a quick look
The definition of a right angle is an angle measuring 90 degrees. You don't have to calculate anything.
To find the obtuse angle at 4 o'clock, we first calculate the angle between the hour and minute hands. The hour hand at 4 points to 120 degrees (4 hours × 30 degrees per hour), and the minute hand at 0 minutes points to 0 degrees. The angle between them is 120 degrees, and the obtuse angle is the larger angle, which is 360 degrees - 120 degrees, resulting in an obtuse angle of 240 degrees.
The complement of an angle is found by subtracting the angle from 90 degrees. For an angle measuring 33 degrees, 31 minutes, and 12 seconds, you first convert it to a single unit if needed. The calculation is as follows: 90 degrees minus 33 degrees 31 minutes 12 seconds equals 56 degrees 28 minutes 48 seconds. Therefore, the complement of the angle is 56 degrees 28 minutes 48 seconds.
To find the angle between the hour and minute hands of a clock at 6:50, first calculate the positions of each hand. The minute hand at 50 minutes is at 300 degrees (50 minutes × 6 degrees per minute). The hour hand at 6:50 is at 205 degrees (6 hours × 30 degrees per hour + 50 minutes × 0.5 degrees per minute). The angle between them is |300 - 205| = 95 degrees.
obtuse
108
The measure of the angle in degrees 1 12 can be interpreted as 1 degree and 12 minutes. Since there are 60 minutes in a degree, 12 minutes is equal to 12/60 = 0.2 degrees. Therefore, the total measure of the angle is 1 + 0.2 = 1.2 degrees.
An acute angle
Divide (minutes) by 60 to get the same angle in (degrees).
An acute angle is between 00 and 900 An obtuse angle is between 900 and 1800 A right angle is exactly 900 A reflex angle is between 1800 and 3600 So the angle 126 degrees and 32 minutes is an obtuse angle
To calculate the angle of the clock hands at 8:45, we can use the formula for the angle between the hour and minute hands: Angle = |(30*hour - (11/2)minutes)|. Here, the hour is 8 and the minutes are 45. Plugging in the values gives us |(308 - (11/2)*45)| = |240 - 247.5| = | -7.5 | = 7.5 degrees. Therefore, the angle between the clock hands at 8:45 is 7.5 degrees.