Math, asked by koteshgoudapur, 1 month ago

Find the mirror time of 5;15 ?​

Answers

Answered by ganapayogiraj
0

Answer:

here is your answer

Step-by-step explanation:

If the hands of a clock shows 5:15, what will its time be in a plane mirror?

7 Answers

Chloe Thorne

, Graphic Artist, Science Tragic, Faerie Witchdoctor (2001-present)

Answered 3 years ago · Author has 196 answers and 254.1K answer views

Originally Answered: If the hands of a clock show 5.15, what time will its image in a plane mirror show?

5:15 = hour:minute = X:Y

Clock hand angles always follow the formulas (12 counts as 0 o’clock and 0 degrees = straight up):

angle(X) = 30X + 0.5Y

angle(Y) = 6Y

Therefore:

angle(X) = 30X + 0.5Y = 150 + 7.5 = 157.5 degrees

angle(Y) = 6Y = 90 degrees

To obtain the mirror angles subtract these from 360 degrees:

angle(X)2 = 360 - 157.5 = 202.5 degrees

angle(Y)2 = 360 - 90 = 270 degrees

Now work out the new time X:Y using these angles:

6Y = 270 degrees, Y = 45 (minutes)

30X + 0.5Y = 202.5 degrees

30X + 22.5 = 202.5

30X = 180, X = 6 (hours)

The mirror time for 5:15 = 6:45

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