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# KCC's Quizzes AQQ230 about a clock and angle puzzle

In an analog clock, the angle formed by the hour and the minute hands varies constantly.

Questions:

1. Which angle θ is obtained when it is 5:20 ?
2. Determine when exactly at around 4, the angle will be exactly 90°?

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[edited by: emassa at 1:54 PM (GMT -4) on 29 Mar 2023]
Parents
• 1. Theta=40°

2. There are two solutions

2a: Between 4:05 and 4:06

2b: between 4:38 and 4:39

Given h=hours and m=minutes, you can write the follwing equations for the angle alpha the minute hand forms with the "vertical" and the angle beta the hour hand forms with the vertical

alpha=6*m

beta= 30*h + 0.5m

• 1. Theta=40°

2. There are two solutions

2a: Between 4:05 and 4:06

2b: between 4:38 and 4:39

Given h=hours and m=minutes, you can write the follwing equations for the angle alpha the minute hand forms with the "vertical" and the angle beta the hour hand forms with the vertical

alpha=6*m

beta= 30*h + 0.5m

Children