Respuesta :

luisejr77

Answer:

[tex]x= 11.47[/tex]

Step-by-step explanation:

By definition the cosine of an angle is the quotient between the side adjacent to the angle and the hypotenuse.

In other words:

[tex]cos (\alpha) = \frac{adjacent}{hypotenuse}[/tex]

In this triangle the length of the side adjacent to the 55 degree angle is x, and the length of the hypotenuse is 20

So:

[tex]cos(55\°) = \frac{x}{20}[/tex]

Now we solve the equation to find the value of x

[tex]x = 20cos(55\°)[/tex]

Finally

[tex]x= 11.47[/tex]

absor201

Answer:

11.47

Step-by-step explanation:

Given

Two angles of 90 and 55 degrees

and a side of length 20

Finding third angle= 180-(90+55)

                              = 35

Finding x:

Using Law of Sines to find length of side x

x/sinX=y/SinY

x/sin35=20/sin90

x=20sin35

x=11.47 !

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