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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

Respuesta :

Answer:

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