Question

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.)

Answer 1

Given:

The adjacent side is 16.

The hypotenuse side is x.

The angle is 40 degrees.

To find:

The value of x.

Step-by-step explanation:

Using the trigonometric ratio for the cosine formula,

`\begin{gathered} \cos40^(\circ)=(16)/(x) \\ x=(16)/(\cos40^(\circ)) \\ x=20.89 \end{gathered}`

Thus, the value of x is 20.89.

Final answer:

The value of x is 20.89.