Determine the approximate value of X using basic trigonometry

The value of x = 35.62

Therefore, option C) is true.

Step-by-step explanation:

Given

Ф = 58°

hypotenuse = 42

To determine:

x = ?

We know that the trigonometric ratio

sin Ф = opposite / hypotenuse

Here:

so substituting the value

sin Ф = opposite / hypotenuse

sin 58° = x / 42

x = 42 × sin 58°

  = 35.62

Thus, the value of x = 35.62

Therefore, option C) is true.