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Answered

Max observes the zoo and the library from a helicopter flying at a height of 400 times square root of 3 feet above the ground, as shown below. What is the distance between the zoo and the library?

A800 feet
B600 feet
C200 feet
D400 feet

Verified Answer :

HomertheGenius

From the point G to the zoo: x = ?
tan 60° = opposite/adjacent = 400√3 / x
√3 = 400 √3 / x
x = 400 √3 : √3 = 400
From the point G to the library: y = ?
tan 30° = 400 √ 3 / y
√3 / 3 = 400 √ 3 / y
y = 400 √ 3 · 3 : √3 = 1200
From the zoo to the library:  y - x = 1200 - 400 = 800
Answer: A ) 800 feet

Answer:

800

Step-by-step explanation:

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