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....
