Respuesta :

Answer:

The values of x and y are 23.83 and 31.1.

Step-by-step explanation:

Given that,

Perpendicular = 20 units

Angle, [tex]\theta=40^{\circ}[/tex]

We need to find the values of x and y.

Using trigonometry,

[tex]\tan(40)=\dfrac{20}{x}\\\\x=\dfrac{20}{\tan(40)}\\\\x=23.83[/tex]

To find y use Pythagoras theorem,

[tex]y^2=23.83^2+20^2\\\\y=31.1[/tex]

So, the values of x and y are 23.83 and 31.1.