Respuesta :

HumanBein

Answer:

x = 8.3.

Step-by-step explanation:

According to solve for the length of x, we need to use SOH CAH TOA.

This means...

Sine: Opposite over Hypotenuse

Cosine: Adjacent over Hypotenuse

Tangent: Opposite over Adjacent

In this case, we are given the angle, the hypotenuse, and we need to solve for the adjacent. This means that we will use cosine, since we have the adjacent and the hypotenuse.

cosine(41) = x / 11

x = (cosine(41)) * 11

x = 0.7547095802 * 11

x = 8.301805382

The question asks us to round to the nearest tenth.

So, your final answer is that x = 8.3.

Hope this helps!

TheAnimeGirl

Answer:

X=8.3

solution,

AC=11

BC=X

By trigonometry,

We know that

[tex]cos \: theta = \frac{base}{hypotenuse} = \frac{bc}{ac} \\ \: \: \: \: \: \: \: \: \: cos \: 41 = \frac{x}{11} \\ \: \: \: \: \: x = 11 \: cos \: 41 \\ \: \: \: \: \: x = 11 \times 0.754 \\ \: \: \: \: x = 8.3[/tex]

Hope this helps...

Good luck on your assignment...

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