Question

an observer notices that an plane flies directly overhead. two mins later the plane is at an angle of elevation of 27°. Assuming that the plane is travelling with constant speed, what will be it's angle of elevation after another two mins ?​

Answer 1

Answer:

Let's call the horizontal distance the plane covers relative to the ground observer in 2 minutes, X.

tan%2827%29=H%2FX

H=Xtan%2827%29

In another two minutes, the distance will increase to 2X

So then,

tan%28theta%29=H%2F2X

Substituting,

tan%28theta%29=%28Xtan%2827%29%29%2F%282X%29

tan%28theta%29=tan%2827%29%2F2

tan%28theta%29=0.25476

theta=14.3