Respuesta :

calculista

we know that

In a right triangle

the value of the cosine is equal to

[tex]cos(x)=\frac{adjacent\ side\ angle\ x}{hypotenuse}[/tex]

and the value of the sine is equal to

[tex]sin(x)=\frac{opposite\ side\ angle\ x}{hypotenuse}[/tex]

so

First case

[tex]adjacent\ side\ angle\ x=4.3\ units[/tex]

[tex]hypotenuse=6.7\ units[/tex]

substitute

[tex]cos(x)=\frac{4.3}{6.7}[/tex]

[tex]x=cos^{-1} (\frac{4.3}{6.7})[/tex]

therefore

The first case is the solution

Second case

[tex]opposite\ side\ angle\ x=4.3\ units[/tex]

[tex]hypotenuse=6.7\ units[/tex]

substitute

[tex]sin(x)=\frac{4.3}{6.7}[/tex]

[tex]x=sin^{-1} (\frac{4.7}{6.7})[/tex]

therefore

The second case is not the solution

Third case

[tex]adjacent\ side\ angle\ x=6.7\ units[/tex]

[tex]hypotenuse=4.3\ units[/tex]

Note The hypotenuse cannot be smaller than the adjacent leg or the opposite leg. This problem has errors

substitute

[tex]cos(x)=\frac{6.7}{4.3}[/tex]

[tex]x=cos^{-1} (\frac{6.7}{4.3})[/tex]

therefore

The third case is not the solution

the solution is the first case

see the attached figure


Ver imagen calculista
abidemiokin

We will look for the triangle that has an adjacent side of 4.3 and a hypotenuse of 6.7. From the options, triangle A matches this parameter: Option A is correct.

For us to get the correct answer, we will use the SOH CAH TOA identity to verify

O is the Opposite side

H is the hypotenuse side

A is the adjacent side

Since [tex]x = cos^{-1}\frac{4.3}{6.7}[/tex]

Cos x = 4.3/6.7

Since Cos x = Adjacent/Hypotenuse

Adjacent = 4.3

Hypotenuse = 6.7

We will look for the triangle that has an adjacent side of 4.3 and a hypotenuse of 6.7. From the options, triangle A matches this parameters.

Learn more here: https://brainly.com/question/22767551

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