Answer:
1) x = 60°
2) x = 62.5°
3) x = 66.9°
Step-by-step explanation:
Trig identities:
[tex]sin(x)=\dfrac{O}{H} \ \ \ \ \ cos(x)=\dfrac{A}{H} \ \ \ \ \ tan(x)=\dfrac{O}{A}[/tex]
where
- x = angle
- O = side opposite the angle
- A = side adjacent the angle
- H = hypotenuse
1)
[tex]cos(x)=\dfrac{9}{18}\\\\\implies cos(x)=\dfrac12\\\\\implies x=arccos\dfrac12\\\\\implies x = 60[/tex]
2)
[tex]tan(x)=\dfrac{25}{13}\\\\\implies x=arctan\dfrac{25}{13}\\\\\implies x = 62.5[/tex]
3)
[tex]sin(x)=\dfrac{23}{25}\\\\\implies x=arcsin\dfrac{23}{25}\\\\\implies x = 66.9[/tex]
