Question

A wind blows at 100 km / h from the east. An aircraft points due north and sets off. In still air its speed is 150 km / h. What will the aircraft's actual velocity be?

Answer 1

180.28 km/h

Step-by-step explanation:

Let north and south represent the positive and negative y axis and east and west represent the positive and negative x axis.

Given;

Velocity of wind vx= 100 km/s

Velocity of aircraft in still air vy = 150 km/s

The resultant velocity Vr is;

Vr = √(vx^2 + vy^2)

Vr = √(100^2 + 150^2)

Vr = 180.2775637731 km/h

Vr = 180.28 km/h