Respuesta :

Answer:

x = 13.28

Step-by-step explanation:

basic trig ratios: using tanФ = opp/adj.

tan(38) = x / 17

x = tan(38) * 17

x = 13.28

to get more idea of the subject, read below:

The cotangent (cot)

The cotangent is the reciprocal of the tangent. It is the ratio of the adjacent side to the opposite side in a right triangle.

tan(A) = opp/adj = a/b

cot(A) =adj/opp = b/c

Answer:

[tex]\Huge \boxed{x \approx 13.28}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trig functions to solve for the problem.

[tex]\sf \displaystyle tan (\theta)=\frac{opposite}{adjacent}[/tex]

[tex]\sf \displaystyle tan (38)=\frac{x}{17}[/tex]

Multiplying both sides by 17.

[tex]\sf \displaystyle 17 \cdot tan (38)=\frac{x}{17} \cdot 17[/tex]

[tex]\sf x= 13.28185565...[/tex]

The measure of x is approximately 13.28.

[tex]\rule[225]{225}{2}[/tex]

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