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Answer:
The distance between the zoo and the library is 400ft
Step-by-step explanation:
Let x be the distance between point G and the zoo
Let y be the distance between the zoo and the library
To solve this problem quickly, we use trigonometric relations
tan(angle) = opposite cathetus / adjacent cathetus
In this case
tan(30) = (200√3) / (x+y)
(x+y) = (200√3)/ tan(30)
(x+y) = 600 ft
For the other angle
tan(60) = (200√3) / (x)
(x) = (200√3)/ tan(60)
x = 200 ft
y = 600 ft - 200 ft = 400 ft
The distance between the zoo and the library is 400ft
