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.

Question

anonymous · Answer

attachment

anonymous · Answer

What is the distance between the zoo and the library?

 800 feet

 600 feet

 200 feet

 400 feet

anonymous · Answer

@croslali can u help me

anonymous · Answer

plz wait for a minute!

anonymous · Answer

hmmm .. this question is tricky!

anonymous · Answer

$$\text{GL}-\text{GZ}=400 \sqrt{3}\text{ Cot}[30{}^{\circ}]-400 \sqrt{3}\text{ Cot}[60{}^{\circ}]=800\text{ ft} $$

anonymous · Answer

dude i guess you are wrong @robtobey 
the answer is 600 feet ...

anonymous · Answer

let me prove my point

anonymous · Answer

sin 60=400*root3/gz right?
sin 30=400*root3/gl
when you subtract you get
gz-gl=800(root3-1)
=585 feet when rounded to nearest hundred you get 600 feet!

anonymous · Answer

@luka1998
Thank you for the medal.

anonymous · Answer

@robtobey huh .. dude please explain ..i didnt get your proof??!?!?