On a clock face, a line is drawn between 9 and 3 and another between 12 and 8. What is the acute angle between these lines?
A.45
B.60
C.50
D.30
E.22.5
L1 has slope 0
L2 has slope √3
see what you can do with that.
30
To find the acute angle between two lines on a clock face, we can use the concept of the hour hand and the minute hand. Let's break it down step by step.
1. Start by finding the positions of the lines on the clock face. The line drawn between 9 and 3 represents the hour hand, while the line drawn between 12 and 8 represents the minute hand.
2. Count the number of hours between the positions of the hour hand and the minute hand. In this case, the hour hand is at the 9 o'clock position and the minute hand is at the 8 o'clock position. Since 8 comes after 9, there are 3 hours between them.
3. Multiply the number of hours between the lines by 30. Each hour on a clock face represents 30 degrees. So, 3 hours multiplied by 30 degrees gives us 90 degrees.
4. Determine the acute angle. Since the hour hand and the minute hand make an angle of 90 degrees, the acute angle between them is 90 degrees.
Therefore, the correct answer is not provided in the options presented. The correct answer would be 90 degrees.