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?
a. 800 feet
b. 600 feet
c. 200 feet
d. 400 feet
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
