Question

Look at the figure. Which trigonometric ratio should you use to find x?

cosine

tangent

sine

Answer 1

hola!

The Trigonometric ratio 'cosine' should be used here to find the value of x

because,

cosine ϴ = base / hypotenuse

According to above fig.
→ base = x ft.
→ hypotenuse = 170 ft

Hope it helps!

Answer 2

A. Cosine is the correct answer

Explanation:

We are given the figure having an right triangle with acute angle 48° and the hypotenuse 170 feet.

Since, we know,

The trigonometric forms are given by,

`\sin \theta=(Perpendicular)/(Hypotenuse)`

`\cos \theta=(Base)/(Hypotenuse)`

`\tan \theta=(Pependicular)/(Base)`

As, we are given the length of the hypotenuse and are required to find the length of the base.

We will have to use the cosine formula.

That is,

`\cos 48=(x)/(170)`

Hence, option A is correct.