Respuesta :

Answer:

x = 49°

y = 41°

Step-by-step explanation:

Recall: SOH CAH TOA

✔️To find x, the trig function we would apply is Cos, which is:

Cos θ = Adjacent/Hypotenuse (CAH)

θ = x

Adjacent = 13

Hypotenuse = 20

[tex] Cos(x) = \frac{13}{20} [/tex]

[tex] x = cos^{-1}(\frac{13}{20}) [/tex]

x = 49.4583981°

x = 49° (nearest degree)

✔️To find y, the trig function we would apply is Sin, which is:

Sin θ = Opposite/Hypotenuse (SOH)

θ = y

Opposite = 13

Hypotenuse = 20

[tex] Sin(y) = \frac{13}{20} [/tex]

[tex] y = Sin^{-1}(\frac{13}{20}) [/tex]

y = 40.5416019°

y = 41° (nearest degree)

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