Trigonometric RatiosQuestion 10 of 10What is the approximate value of y in the diagram below? (Hint: You will needto use one of the trigonometric ratios given in the table.)

Trigonometric RatiosQuestion 10 of 10What is the approximate value of y in the diagram below Hint You will needto use one of the trigonometric ratios given in t class=

Respuesta :

Given:

The adjacent side is 16.

The hypotenuse side is x.

The angle is 40 degrees.

To find:

The value of x.

Explanation:

Using the trigonometric ratio for the cosine formula,

[tex]\begin{gathered} \cos40^{\circ}=\frac{16}{x} \\ x=\frac{16}{\cos40^{\circ}} \\ x=20.89 \end{gathered}[/tex]

Thus, the value of x is 20.89.

Final answer:

The value of x is 20.89.