Respuesta :

gmany

Answer:

7.2 ft

Step-by-step explanation:

Use cosine

[tex]cosine=\dfrac{adjacent}{hypotenuse}[/tex]

We have

[tex]adjacent=x\\hypotenuse=10ft\\\alpha=44^o\to\cos44^o\approx0.7193[/tex]

Substitute:

[tex]0.7193=\dfrac{x}{10}[/tex]             multiply both sides by 10

[tex]x=7.193\to x\approx7.2\ ft[/tex]

The value of x rounded to the nearest tenth is 7.2 ft.

What is a trigonometric function?

Trigonometric functions are associated with right-angled triangles. These are actually the ratio between the sides of the right-angled triangles represented by sin, cos, tan, etc.

How to find the value of x?

The figure is given.

We have to find the value of cos 44.

The value of cos 44 is 0.72.

cos 44 = adjacent side/hypotenuse

0.72 = x/10

x = 7.2

We have found the value of x. The value of x is equal to 7.2 ft.

Therefore, we have found the value of x rounded to the nearest tenth to be 7.2 ft.

Learn more about trigonometric functions here: https://brainly.com/question/24349828

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