Question

A plane has a speed of 275 km/hr. The wind is at a 70 degree angle to the direction of the plane with a speed of 75 km/hr. What is the combined speed?

Answer 1

The combined speed of the plane and the wind is 249.35 km/h.

Relative speed

The relative speed of the plane due to speed of the wind is calculated as follows;

Let the direction of the plane be horizontal direction.

Speed of the wind

The speed of the wind is calculated as follows;

$V_b = V \times cos\theta\\\\V_b = 75 \times cos(70)\\\\V_b = 25.65 \ km/hr$

Combined speed

The combined speed of the plane and the wind is calculated as follows;

V = 275 km/h - 25.65 km/h

V = 249.35 km/h

Thus, the combined speed of the plane and the wind is 249.35 km/h.

Learn more about relative speed here: brainly.com/question/17228388