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 ) = 3800tanx How fast is the beam of light moving along the shoreline when it is 550 meters from P? dD = 24375.11474 dt meters per minute * symbolic formatting help

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Chapter2: Functions
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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 ) = 3800tanx
How fast is the beam of light moving along the shoreline when it is 550 meters from P?
dD
= 24375.11474
dt
meters per minute
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 ) = 3800tanx How fast is the beam of light moving along the shoreline when it is 550 meters from P? dD = 24375.11474 dt meters per minute symbolic formatting help
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