Question

Find the measures of the unknown angles in the triangle shown. Round it the nearest degree.

Answer 1

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

$Cos(x) = \frac{13}{20}$

$x = cos^{-1}(\frac{13}{20})$

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

$Sin(y) = \frac{13}{20}$

$y = Sin^{-1}(\frac{13}{20})$

y = 40.5416019°

y = 41° (nearest degree)