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Answer:
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: