If the distance is r, then
r/30 = cos 30°
A lighthouse beacon rotates through 360 degrees every 12 seconds, it is located 100 m off the shore of an island with a coastline of steep cliffs running north and south. As the light beam sweeps clockwise, starting from the north (direction of 0 degrees), it strikes some part of the cliff.
How long does it take the light beam to reach 30 degrees? What is the distance travelled by the beam to the cliff at that time?
I know how to find the amount of time it takes which is 1 second, I I found out the period which is
p=360/12s
=30
and then I took the reciprocal of that 1/30 and multiplied it by 30 degrees and got 1 second.
I just don't know how to find the distance it travels at 30 degrees at 1 second. I suppose it has to do with the Y. I've been stuck on this for days now!
2 answers
THANKS for clarity.