Max observes the zoo and the library from a helicopter flying at a height of 200 times square root of 3 feet above the ground, as shown below: a helicopter is flying at a height of 200 multiplied by square root of 3 feet above the ground. a zoo and a library are on the ground on the same side of the helicopter. the angle made by the line joining the helicopter and the zoo with the ground is 60 degrees. the angle made by the line joining the helicopter and the library with the ground is 30 degrees. what is the distance between the zoo and the library?

400 feet

Step-by-step explanation:

REFER THE ATTACHED FIGURE

Height of the helicopter i.e. AG = 200√3

The angle made by the line joining the helicopter and the zoo with the ground is 60 degrees. i.e.∠ABG = 60°

The angle made by the line joining the helicopter and the library with the ground is 30 degrees  i.e.∠ACG = 30°

We are required to calculate  the distance between the zoo and the library i.e. BC

In ΔAGB

To find GB we will use trigonometric ratio.

In ΔAGC

To find GC we will use trigonometric ratio.

Now , BC = GC-GB = 600-200=400 feet

Thus the distance between zoo and library is 400 feet

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are