Max observes the zoo and the library from a helicopter flying at a height of 300 times square root of 3 feet above the ground, as shown below: a helicopter is flying at a height of 300 multiplied by square root of 3 feet above the ground. a zoo and a library are on the what is the distance between the zoo and the library? (1 point) 300 feet 600 feet 900 feet 100 feet

Distance between the library and the zoo = 600 units

Step-by-step explanation:

Given question is a problem based on 30°- 60°- 90° concept in height and distance.

In ΔABC

       ∠C = 60°

        Side AB = 300√3 units

          ⇒ Side BC = 300√3 ÷ √3 = 300 units (∵ In right triangle side

                                             opposite to 60° angle is √3 times the other side)

Hence, BC =300 units

Now, in ΔABD

        ∠D = 30°

        BA = 300√3 units

         ⇒ Side BD = 300√3*√3 = 900 units (∵ In right triangle side

                                         opposite to 30° angle is 1/√3 times the other side)

Now, CD = BD - BC = 900 - 300 = 600 units

Hence, distance between the library and the zoo = 600units

0 is its x and y coordinate