Special relativity clocks observed from two frames

[wumple]

Homework Statement

Observers S and S' stand at the origins of their respective frames, which are moving relative to each other with a speed of .6c. Each has a standard clock, which, as usual, they set to zero when the two origins coincide. Observer S keeps the S' clock visually in sight. (a) What time will the S' clock record when the S clock records 5 micro seconds? (b) What time will Observer S actually read on the S' clock when his own clock reads 5 micro seconds?

Homework Equations

time dilation: t = gamma (proper time)

The Attempt at a Solution

I can solve part A by using time dilation. My confusion comes in understanding how to interpret the conditions set on part b - how is part b different from part A? I know that for time dilation, the proper time is the time measured when the clock is at rest. But how can I calculate what one observer sees on a clock in another frame?

 

[granpa]

I assume that part a is in observer S's frame.
I guess they just want to make it clear
that the relativistically calculated time on the S' clock
is different from the time on clock S' as
actually physically observed by S through a telescope.

This is a common mistake by beginners and
they just want to make sure that everyone understands it correctly

 

[wumple]

but how would I go about calculating what observer S sees on the clock of S' through a telescope? That's the part I don't understand.

 

[granpa]

work backward