Respuesta :

Answer:

about 32.9

Step-by-step explanation:

By looking at the triangle, you can see that there is both an angle and a side provided. This allows you to use trigonometry (sin, cos, tan). You have to use tan to find the answer since it is used when you have either the opposite side or adjacent side and are solving for one of them. You take the tangent of the angle and set it equal to the opposite over the adjacent (see image attached).

I hope this helps.

Also sorry that the image is the wrong way, but it wouldn't let me attach it the right way.

Ver imagen itsmiichu

QUESTION 1

Given a right triangle, the unknown side is opposite to the 35° angle.

The side adjacent to this angle is 47 units.

We use the tangent ratio to get:

[tex] \tan(35 \degree) = \frac{opposite}{adjacent} [/tex]

[tex] \tan(35 \degree) = \frac{x}{47} [/tex]

[tex] x = 47\tan(35 \degree)[/tex]

[tex]x = 32.9units[/tex]

to the nearest tenth.

QUESTION 2

The given angle is 47°

The opposite side is x units.

The adjacent side is 40 units.

We again use the tangent ratio to obtain:

[tex] \tan(47 \degree) = \frac{x}{40} [/tex]

[tex]x = 40\tan(47\degree) [/tex]

[tex]x = 42.9units \: to \: the \: nearest \: tenth[/tex]

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