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, w

Question

gizmo_the_mogwai [7]

3 years ago

5

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, w

hat is the distance between the zoo and the library

Mathematics

1 answer:

poizon [28] · Answer 1 · 2021-11-28T10:46:42+03:00

Answer:

The distance between zoo and library is 200 feet....

Step-by-step explanation:

Look at the picture. As the figure describes,

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....