Question

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

Answer 1

x = 49°

y = 41°

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) = (13)/(20)`

`x = cos^(-1)((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) = (13)/(20)`

`y = Sin^(-1)((13)/(20))`

y = 40.5416019°

y = 41° (nearest degree)