Here's the first one . . .
First, make a sketch . . .Two towers, . are 150m tall, 40m apart.
A horizontal tightrope (height of 60m) is attached to the two buildings.
A man walks across the tightrope at a constant m/sec.
A spotlight is on the top of . How fast is the shadow of the man
moving up the wall of building when he is 8 m away from ?Code:A * * B | * | 90 | * | | * 40-x | T + - - - - - * - - - - - + R | x M * | | * | y 60 | * | | * S | | | | C * - - - - - - - - - - - * D 40
The buildings are
The tightrope is
The spotlight is at , the man is at
. . Let:
. . We are given: . m/sec.
The man's shadow is at
Differentiate with respect to time: .
The shadow is moving up building at