Answer:
[tex]c=71.4m/s[/tex]
[tex]\theta=8.54\textdegree[/tex]
Explanation:
From the question we are told that
Initial velocity of 60 m/s
Wind speed [tex]V_w= 15 m/s \angle 45 \textdegree[/tex]
Generally Resolving vector mathematically
[tex]sin(45\textdegree)15=10.6\\cos(45\textdegree)15=10.6[/tex]
Generally the equation Pythagoras theorem is given mathematically by
[tex]c^2=a^2+b^2[/tex]
[tex]c^2=10.6^2 +(10.6+60)^2[/tex]
[tex]c=\sqrt{10.6^2 +(10.6+60)^2}[/tex]
Therefore Resultant velocity (m/s)
[tex]c=71.4m/s[/tex]
b)Resultant direction
Generally the equation for solving Resultant direction
[tex]\theta=tan^-1(\frac{y}{x})[/tex]
Therefore
[tex]\theta=tan^-1(\frac{10.6}{70.6})[/tex]
[tex]\theta=8.54\textdegree[/tex]
