Question

Find the missing side round to nearest 10th

Answer 1

x = 73.3

y = 46.2

Explanation:

Reference angle (θ) = 39°

Adjacent = 57

Hypotenuse = x

Opposite = y

Recall: SOHCAHTOA

✔️To find x, apply CAH:

Cos θ = Adjacent/Hypotenuse

Plug in the values

Cos 39° = 57/x

x × Cos 39° = 57

x = 57/Cos 39°

x = 73.3 (nearest tenth)

✔️To find x, apply TOA:

Tan θ = Opposite/Adjacent

Plug in the values

Tan 39° = y/57

57 × Tan 39° = y

y = 46.2 (nearest tenth)