SOLUTION: Two control towers are located at points M(-500,0) and
N(500,0),on a straight shore where the x-axis runs through (all distances are in meters). At the same time, both towers sen
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Question 1204500: Two control towers are located at points M(-500,0) and
N(500,0),on a straight shore where the x-axis runs through (all distances are in meters). At the same time, both towers sent a to a ship out at sea, each traveling at 400m/µs. The ship received the signal from tower N 2µs (microseconds) before the message from M. What is the equation of the curve containing the possible location of the ship? What are the coordinates of the ship if it is 200 m from the shore(y=200)?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
here we have a hyperbola
with foci at:(,) =(,) and (,)=(,)
distance between foci is , so to get the distance multiply speed by a time
since , we have
and your hyperbola is:
What are the coordinates of the ship if it is from the shore()?
( -> exactly
-> approximately
the coordinates of the ship if it is from the shore are (,)
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