Answer:
a. 9.33
b. 67.38°
Step-by-step explanation:
a) You can calculate the length y as following:
[tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]
Where:
[tex]\alpha=51\°\\opposite=y\\hypotenuse=12[/tex]
Substitute values and solve for y:
[tex]sin(51\°)=\frac{y}{12}\\y=12*sin(51\°)\\y=9.33[/tex]
b. You can calculate the missing angle as following:
[tex]\theta=arctan(\frac{opposite}{adjacent})[/tex]
Where:
[tex]opposite=12\\adjacent=5[/tex]
When you substitute values you obtain the following result:
[tex]\theta=arctan(\frac{12}{5})[/tex]
[tex]\theta=67.38\°[/tex]
