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

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

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3