Max observes the zoo and the library from a helicopter flying at a height of 100 times square root of 3 feet above the ground, as shown below:
*image below*
what is the distance between the zoo and the library?

Hence, the distance between zoo and library is:

200 feet.

Step-by-step explanation:

Let H denote the position of Helicopter.

Z denote the position of Zoo.

and L denote the position of library.

Hence, we will firstly find the distance between G and zoo and then we find the distance between G and library and subtract the first distance from second to obtain the distance between zoo and library.

In ΔHGZ.

tan 60°=HG/GZ

⇒ √3=100√3/GZ

Hence, GZ=100 feet.

Similarly in ΔHGL

tan 30°=HG/GL

⇒ 1/√3=100√3/GL

⇒ GL=300 feet.

Hence, the distance between zoo and library is:

GL-GZ

=300-100

=200 feet.

Hence, the distance between zoo and library is 200 feet.

a = 11 : 4

b = 38

c = 1 for every 6

step-by-step explanation:

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