Posted by Jon on Sunday, November 11, 2007 at 12:55pm.
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! :) :)

Calculus  Anonymous, Sunday, November 11, 2007 at 1:28pm
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?

Calculus  Anonymous, Sunday, November 11, 2007 at 1:29pm
Sorry, I mean to make a new question, disregard above 'answer'.

Calculus  Jon, Sunday, November 11, 2007 at 1:43pm
Gee, now you're going to make people who open this topic think the answer has already been provided. Thanks a ton...

Calculus  SuperGirl, Monday, May 31, 2010 at 7:44pm
You're a jerk.

Calculus  H H Chau, Friday, August 22, 2014 at 7:10pm
tan(θ)=x/1
cos(θ)=1/sqrt(x^2+1)
sec^2(θ)=x^2+1
dθ/dt=3 rev/min=6π rad/min
x=tan(θ)
dx/dt=sec^2(θ) dθ/dt
At x=0.5 km
dx/dt=(0.5^2+1)*6π=23.6 km/min=1414 kph
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