Respuesta :

mathstudent55

Answer:

3.6 cm

Step-by-step explanation:

For the 20-deg angle, x is the opposite leg. 10 cm is the adjacent leg. The trig ratio that relates the opposite leg to the adjacent leg is the tangent ratio.

tan A = opp/hyp

tan 20 deg = x/10

x = 10 tan 20 deg

x = 3.6

Answer and Step-by-step explanation:

To find x, we need to use the tangent trig function.

tan(angle) = opposite/adjacent

[tex]tan(20) = \frac{x}{10}[/tex]

Multiply by 10 to both sides, and solve with a calculator.

10(tan(20)) = x

x = 3.639702343

x ≈ 3.6 is the answer.

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