Question

What’s the value of x

Answer 1

Answer:

Step-by-step explanation:

You are given an angle, the adjacent side to the angle, and need the hypotenuse of the triangle.  Use Cos x  to find the missing side.

Cos α = (adjacent side)/(hypotenuse)

Cos 45 = 10/x

    x(Cos 45) = 10       (multiply both sides by x to get rid of the fraction)

       x = 10/(Cos 45)    (divide both sides by Cos 45 to isolate x

  Cos 45 = (√2)/2   so we have...

        x = 10/[(√2)/2]  

now simplify...

    x = 10*(2/√2)

       x =  20/√2

           x = (20√2)/[(√2)(√2)

               x = (20√2)/2

                      x = 10√2

                or x = 14.1421 if you use a calculator