Given:
The triangle VUW is the right-angled triangle.
[tex]VU=2\text{ and VW=5.}[/tex]
Required:
[tex]\text{ We need to find m}\angle V.[/tex]
Explanation:
The adjacent side of the angle V is VU=2.
The hypotenuse of the triangle is VW=5.
Use the cosine formula.
[tex]cos(m\angle V)=\frac{Adjacent\text{ side}}{Hypotenuse}[/tex]
Substitute the adjacent side =2, and the hypotenuse = VW=5 in the formula.
[tex]cos(m\angle V)=\frac{2}{5}[/tex]
[tex]cos(m\angle V)=0.4[/tex]
[tex]m\angle V=cos^{-1}(0.4)[/tex]
[tex]m\angle V=66.4^o[/tex]
Final answer:
[tex]m\angle V=66.4^o[/tex]
