Respuesta :

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:

A. Cosine is the correct answer

Step-by-step 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,

[tex]\sin \theta=\frac{Perpendicular}{Hypotenuse}[/tex]

[tex]\cos \theta=\frac{Base}{Hypotenuse}[/tex]

[tex]\tan \theta=\frac{Pependicular}{Base}[/tex]

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,

[tex]\cos 48=\frac{x}{170}[/tex]

Hence, option A is correct.

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