Answer:
The length of the hypotenuse x = x = 16√3
Step-by-step explanation:
Given
Angle Ф = 60°
To Determine
hypotenuse = x
We know the trigonometric ratio can be defined as
cos Ф = adjacent / hypotenuse
here
Ф = 60°
The side adjacent to 60° = 8√3
Hypotenuse = x
so substituting Ф = 60°, adjacent = 8√3, and hypotenuse = x
cos Ф = adjacent / hypotenuse
cos 60° = 8√3 / x
1/2 = 8√3 / x ∵ cos 60° = 1/2
x = 2 × 8√3
x = 16√3
Therefore, the length of the hypotenuse x = x = 16√3
