# math

Two poles are 24 metres and 30 metres high and 20 metres apart. A slack
wire joins the tops of the poles and is 32 metres long. A cable car is moving
along the wire at 5 metres per second away from the shorter pole. When the
car is 12 metres horizontally from the shorter pole, it is 15 metres high and the
length of the wire to the shorter pole is 15 metres. At this instant, find:
a) how fast the car is moving horizontally.
b) how fast the car is moving vertically.

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