Angle of reflection for light from clock position 10 to 5

[math4me]

If a beam of light shines from the 10 on the face of a clock, reflects off a mirror in the center and strikes the 5, what is the angle of reflection.

If anyone could help me, it would be much appreciated tyty.

 

[math4me]

any ideas anybody?

 

[Chen]

Connect the 10, the 5 and the reflection points together to form a triangle. What are the properties of that triangle?

 

[Pergatory]

How far is the mirror from the clock? What is the distance from the center of the clock to the 10?

 

[math4me]

Chen i having difficulty could you please explain.

 

[Doc Al]

If a beam of light shines from the 10 on the face of a clock, reflects off a mirror in the center and strikes the 5, what is the angle of reflection.

What's the angle between the hours marked on a clock? For example, what's the angle between 12 and 1? What angle is swept out by the hour hand of a clock each hour?

Then ask what's the angle between the 10 hour mark and the 5 hour mark? (That's 5 hours difference, right?)

A mirror arranged in the center to reflect the light as specified will have angle of incidence plus angle of reflection equal that total angle. So what's the law of reflection have to say?

 

[HallsofIvy]

The mirror is in the center of the clock? Since the "hours" divide the face of the clock into 12 parts, each "hour" division is 360/12= 30 degrees. From 10 to 5 is 5*30= 150 degrees.

 

[math4me]

Ah so the internal angle is 40 degrees, so the angle of reflection is 20 degrees? Am i right anyone??

 

[Doc Al]

Ah so the internal angle is 40 degrees, so the angle of reflection is 20 degrees? Am i right anyone??

Where did you get this? Did you read Halls' answer? (But you are correct that the angle of reflection will equal half of the total angle.)

 

[math4me]

Yes Hall helped me ty v much everyone it is much appreciated. :-)