A lighthouse (L) is located on a small island 3800 meters from the nearest point P on a straight shoreline. Its light makes 1 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 550 meters from P? dD meters per minute dt symbolic formatting help

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A lighthouse (L) is located on a small island 3800 meters from the nearest point P on a straight shoreline. Its light makes 1 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 550 meters from P?
dD
meters per minute
dt
symbolic formatting help
Transcribed Image Text:A lighthouse (L) is located on a small island 3800 meters from the nearest point P on a straight shoreline. Its light makes 1 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 550 meters from P? dD meters per minute dt symbolic formatting help
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