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A flag is raised while an onlooker watches from a distance of 21 feet away from the base of the flag pole (see the figure below).
The flag rises vertically at a rate of 8 inches per second.
Let t denote the time (in seconds) after the flag begins to rise (For simplicity, assume that when the flag begins to rise it is 0 inches above the ground).
Express the distance d (in feet) between the flag and the onlooker as a function of t.
They want this in feet; convert 8" to
The distance from the onlooker to the flag is the hypotenuse, formed by the 21' from the base of the pole and height of the flag which would be