posted by Jon on .
A rotating beacon is located 1 kilometer off a straight shoreline. If the beacon rotates at a rate of 3 revolutions per minute, how fast (in kilometers per hour) does the beam of light appear to be moving to a viewer who is 1/2 kilometer down the shoreline.
I need to show work, so formatting answers in this manner would be most appreciated. Thanks in advance! :) :)
Evaluate the limit as h -> 0 of:
[tan (pi/6 + h) - tan(pi/6)]/h
I thought the answer was √3/3, or tan(pi/6, but apparently that is wrong, any tips here?
Sorry, I mean to make a new question, disregard above 'answer'.
Gee, now you're going to make people who open this topic think the answer has already been provided. Thanks a ton...
You're a jerk.
dθ/dt=3 rev/min=6π rad/min
At x=0.5 km
dx/dt=(0.5^2+1)*6π=23.6 km/min=1414 kph