Question

Mario was studying right angles and wondered if during his math class the minute and hour hands of the clock formed a right angle. If his class meets from 9-9:50 is a right angle formed? If so figure out the nearest second when the hands form the right angle.

Answer 1

9:00

Answer 2

nope not right

Answer 3

how isnt it?

Answer 4

Let m = position of minute hand = 6 * t
Let h = position of hour hand = 60 + t/2

60+t/2 = 6*t - 90
5.5 t = 150
t = 27.2727 minutes after 9:00
.27 minutes = 16.364 seconds

9:27:16 is the closest second