A lighthouse (L) is located on a small island 3150 meters from the nearest point P on a straight shoreline. Its light makes 4 revolutions per minute. Let A be the point where the beam of light strikes the shore and x the angle ALP. Write the distance D from A to P as a function of x. D( x ) = How fast is the beam of light moving along the shoreline when it is 100 meters from P? dD meters per minute dt * symbolic formatting help

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A lighthouse (L) is located on a small island 3150 meters from the nearest point P on a straight shoreline. Its light makes 4 revolutions per minute.
Let A be the point where the beam of light strikes the shore and x the angle ALP. Write the distance D from A to P as a function of x.
D( x ) =
How fast is the beam of light moving along the shoreline when it is 100 meters from P?
dD
meters per minute
dt
* symbolic formatting help
Transcribed Image Text:A lighthouse (L) is located on a small island 3150 meters from the nearest point P on a straight shoreline. Its light makes 4 revolutions per minute. Let A be the point where the beam of light strikes the shore and x the angle ALP. Write the distance D from A to P as a function of x. D( x ) = How fast is the beam of light moving along the shoreline when it is 100 meters from P? dD meters per minute dt * symbolic formatting help
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