Question

A DC-9 aircraft leaves an airport from a runway whose bearing is N40°E. After flying for mile, the pilot requests permission to turn 90° and head toward the southeast
The permission is granted. After the airplane goes 1 mile in this direction, what bearing should the control tower use to locate the aircraft?


"What is the bearing that the control tower should use to locate the aircraft?

Answer 1

Answer:

Bearing of plane from the control tower is N 85° E

Step-by-step explanation:

We can observe a right angle triangle is formed when we consider the path traced by the movement of the air plane with respect to the control tower.

The angle $\theta$ can be got using the triangular geometry laws:

$tan \theta = \frac{opposite}{adjacent}= 1$

$\theta = tan^{-1} (1) = 45 degrees$

Bearing angle of plane with respect to North is 40 + 45 degrees = 85 degrees.

Bearing of plane from the control tower is N 85° E