Find the length of side x simplest radical form with a rational denominator

The length of x in the simplest radical form with a rational denominator will be:      

Step-by-step explanation:

Given

hypotenuse = 5

angle Ф = 60°

To determine

x = ?

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

here

Ф = 60°

adjacent of 60° = x

hypotenuse = 5

so substituting Ф = 60°, adjacent = x and hypotenuse = 5 in the equation

cos Ф = adjacent / hypotenuse

so

switch sides

Multiply both sides by 5

Simplify

Therefore, the length of x in the simplest radical form with a rational denominator will be: