Find the value of the variable. if your answer is not an integer, leave it in simplest radical form.

a.5√2 /2

b.5√3

c.5√2

d.5√3 /2

 The value of the variable is

Step-by-step explanation:  We are given to find the value of the variable 'x' in the figure.

We can see that the figure is a right-angled triangle with the length of the hypotenuse as follows:

h = 5 units.

Now, with respect to the angle of measure 45°, the length of the perpendicular is x units.

That is, p = x units.

From relations between trigonometric ratios, we have

Thus, the value of the variable is

step-by-step explanation:

step-by-step explanation: