Question

An aeroplane takes off at angle of `30^circ` with the ground . Find the height of the aeroplane above the ground when it has travelled 386m without changing direction .

Answer 1

The plane takes off from point C on the ground . Let A be the final position of the plane .

In ΔABC

`"AB"/"AC"` = `sin30^circ`

`"AB"/386 = 1/2`

`h = 386/2 = 193`

Thus , the required height of the aeroplane above the ground is 193 m .