Alighthouse is located on a small island 2 km away from the nearest point p on a straight shoreline and its light makes four revolutions per minute. how fast is the beam of light moving along the shoreline when it is 1 km from p? (round your answer to one decimal place.)

62.8 km per min

Step-by-step explanation:

Let the diagram of this situation is shown below,

In which is the angle made by light to the straight line joining the lighthouse and P,

∵ Light makes 4 revolutions per minute.

Also, 1 revolution = radians

So, the change in angle with respect to t ( time ),

Let x be the distance of beam from P,

Differentiating with respect to x,

If x = 1 km,

Hence, the beam of light moving along the shoreline with the speed of 62.8 km per min

a

step-by-step explanation:

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