Question

Find the value of x. Write your answer in simplest form

Answer 1

The length of the hypotenuse x = x = 16√3

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