Between 4 pm and 55 pm, what are the times for the hour hand and the minute hand to make an angle of 50 degrees? Express your answer to the nearest minute.

Question

Please help! Come on, i seriously failed no matter how many times i tried!

help!

Answer 1

Hey Alif!

Always begin with simple ideas -- at 4:00 the angle is 120 deg (20 of 60 "notches").

For 50 deg, how many notches needed? At 6 deg / notch, need about 8 notches ...

Probably 4:13 is the 1st ... visualize the next 8-notch spread ... 4:31?

That's it -- angle only widens from there to 5pm ...  

For the other "o'clock's", shift everything 5 "notches" ...

5:18, 5:36 ... 6:23, 6:41 ... 7:28, 7:46 ... 8:33, 8:51 ... Best wishes, sir :)