A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes 9 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.)

The speed of light moving along the shoreline when it is 1 km from P is 2.1064 km

Step-by-step explanation:

We are given that a point 1 km from point P on the shoreline would  form a a right triangle with the lighthouse, point P, and the point 1 km from  point P.

The distance from that point to the lighthouse would be the hypotenuse.

That would also be the radius of the circle the beam of light is making at that point.

To find the hypotenuse

Circumference =

The beam of light is making at point 14.05 km away

One revolution: sec per revolution

Speed =

Hence The speed of light moving along the shoreline when it is 1 km from P is 2.1064 km

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step-by-step explanation: