Physics—Sight Lines: In a forest fire tower, the distance that an observer is able to see...

Physics—Sight Lines: In a forest fire tower, the distance that an observer is able to see into the forest is related to the height of the fire tower via the function

where x represents the height of the tower in feet, and f(x) represents the distance that the observer can see in miles.

(a) Evaluate g(70) and interpret.

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(b) If the observer is required to see 29 miles into the forest, how high must the tower be?