This is for trigonometry.
A searchlight rotates through one complete revolution every 4 seconds. How long does it take the light to rotate through 90 degrees? Please help me set up and solve the problem. Thanks!

Question

This is for trigonometry. 
A searchlight rotates through one complete revolution every 4 seconds. How long does it take the light to rotate through 90 degrees? Please help me set up and solve the problem. Thanks!

anonymous · Answer

One complete revolution corresponds to $360^\circ$ and takes $4$ seconds. Knowing that $90^\circ$ is a fourth of a complete revolution, and assuming a constant rate, how many seconds do you think it'll take to rotate $90^\circ$?

anonymous · Answer

1 second

anonymous · Answer

I am still confuse

anonymous · Answer

That is the answer; it takes 1 second.

anonymous · Answer

I don't get how I would write it on my homework

anonymous · Answer

Not sure; that problem is pretty straightforward.|dw:1359323948276:dw|

anonymous · Answer

so everytime it rotates it is just rotation 1 second right

anonymous · Answer

Each time it rotates $90^\circ$ it takes 1 second.

anonymous · Answer

Thank you for your help