This question could go under trig but also calculus.
We recently got this question in our year 12 Methods class
After a few other questions, which talked of a light at the top of the light house and finding a sin graph from the intensity of light hitting a sensor as the light rotated, the question I can't solve gave the diameter of the bottom of the lighthouse as 8 metres and said there was a road that ran along side the lighthouse on the right from North to South, with the road touching the lighthouse.
With the diagram showing the light facing towards the road, touching the top and bottom corner, at what could be a 90 degree angle, the question asks to write a Tangent equation that models when the light touches the road:
A x Tan(nx)
Solve A and n
The previous question stated that it takes 12 seconds for the light to fully rotate.
We recently got this question in our year 12 Methods class
After a few other questions, which talked of a light at the top of the light house and finding a sin graph from the intensity of light hitting a sensor as the light rotated, the question I can't solve gave the diameter of the bottom of the lighthouse as 8 metres and said there was a road that ran along side the lighthouse on the right from North to South, with the road touching the lighthouse.
With the diagram showing the light facing towards the road, touching the top and bottom corner, at what could be a 90 degree angle, the question asks to write a Tangent equation that models when the light touches the road:
A x Tan(nx)
Solve A and n
The previous question stated that it takes 12 seconds for the light to fully rotate.
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