Question

A plane is moving due north, directly towards its destination. Its airspeed is 200 mph. A constant breeze is blowing from west to east at 60 mph. At what rate is the plane moving north?

Answer 1

Answer:

200 m/s

Explanation:

Given that,

A plane is moving due north, directly towards its destination. Its airspeed is 200 mph. A constant breeze is blowing from west to east at 60 mph.

We need to find the rate at which the plane is moving towards North. It can be given by :

$V_x=v\cos\theta$

Where

$\theta$ is the angle with the North

$V_x=200\times \cos(\dfrac{60}{200})\\\\=199.99\ m/s\\\\\approx 200\ m/s$

Hence, the plane is moving at a rate of 200 m/s.