An aeroplane when flying at a height of 2000m from the ground passes vertically above a helicopter at an instant when their angles of elevation from the same point on the ground are 60⁰ and 30 respectively. Find the vertical distance of the helicopter from the ground.

Question

contestada

Respuesta :

varshamittal029 varshamittal029 · Answer 1 · 2022-09-12T20:05:11+02:00

The vertical distance of helicopter from the ground is equal to 2000 / 3 m.

Let the distance between the two planes A and B be x.

In △ ADC, we get that:

tan 60° = 2000 / y

√3 = 2000 / y ...(1)

Now, in △ BCD, we get that:

tan 30° = 2000 - x / y

1 / √3 = (2000 - x) / y ... (2)

Divide (1) from (2):

3 = 2000 / (2000 - x)

6000 - 3 x = 2000

3 x = 6000 - 2000

3 x = 4000

x = 4000 / 3

(2000 - x) = 2000 - 4000/3 = 2000 / 3

Therefore, the vertical distance of helicopter from the ground is equal to 2000 / 3 m.

Learn more about planes here:

https://brainly.com/question/1655368

#SPJ9