Respuesta :

Answer:

See below.

Step-by-step explanation:

Remember SOHCAHTOA.

Soh... Sine = Opposite / Hypotenuse

...cah... Cosine = Adjacent / Hypotenuse

...toa Tangent = Opposite / Adjacent

In this case, we’ll use CAH.

cos(45) = x/6[tex]\sqrt{2}[/tex]

x = cos(45) * 6[tex]\sqrt{2}[/tex]

x = 6

Answer:

x = 6

Step-by-step explanation:

this is a 45-45-90 triangle where the leg to hypotenuse ratio is always 1 : [tex]\sqrt{2}[/tex]

so if a leg equals two then the hypotenuse is 2[tex]\sqrt{2}[/tex]

in this case, x = 6[tex]\sqrt{2}[/tex] ÷ [tex]\sqrt{2}[/tex] which is 6