Question

Solve for x.
Helppppp

Answer 1

x = 6

Explanation:

this is a 45-45-90 triangle where the leg to hypotenuse ratio is always 1 :
`√(2)`

so if a leg equals two then the hypotenuse is 2
`√(2)`

in this case, x = 6
`√(2)` ÷
`√(2)` which is 6

Answer 2

See below.

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
`√(2)`

x = cos(45) * 6
`√(2)`

x = 6