Answer:
The speed of the plane relative to the man is 245.1 m/s
The direction of the plane is S 88.36⁰ W
Explanation:
Given;
velocity of the man toward the airplane, Vy = 7 m/s
velocity of the airplane, Vx = 245 m/s west
The speed of the plane relative to man is given by;
<----------------------
↑
↑
↑
Complete this diagram to form a right angled triangle, with the hypotenuse as the relative velocity of the plan with respect to the man.
R² = 245² + 7²
R² = 60074
R = √60074
R = 245.1 m/s
The direction of the plane is given by;
tan θ = 245 / 7
tan θ = 35
θ = tan ⁻¹ (35)
θ = 88.36°
The direction of the plane is S 88.36⁰ W
