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