Respuesta :

Answer:

Part 1) [tex]x=22.55\ units[/tex]

Part 2) [tex]x=25.36\ units[/tex]

Part 3) [tex]x=30.69\ units[/tex]

Step-by-step explanation:

Part 1) we know that

In the right triangle of the figure

[tex]tan(64\°)=\frac{x}{11}[/tex]

[tex]x=(11)tan(64\°)=22.55\ units[/tex]

Part 2) we know that

In the right triangle of the figure

[tex]cos(29\°)=\frac{x}{29}[/tex]

[tex]x=(29)cos(29\°)=25.36\ units[/tex]

Part 3) we know that

In the right triangle of the figure

[tex]sin(21\°)=\frac{11}{x}[/tex]

[tex]x=\frac{11}{sin(21\°)}=30.69\ units[/tex]