Question

1) Find the measure of ∠θ. Round to one decimal place.

​2) Then, find the measure of AB Round to one decimal place.

Answer 1

Answer/Step-by-step explanation:

Reference angle = θ

Opposite side = 11.9

Adjacent side = 10

Applying the trigonometric ratio, TOA, we have:

Tan θ = opp/adj

Tan θ = 11.9/10

θ = tan^{-1}(11.9/10)

θ = 49.9584509° ≈ 50.0° (to one d.p)

Apply pythagorean theorem to find AB:

Thus:

AB = √(11.9² + 10²)

AB = √241.61

AB ≈ 15.5 (to 1 d.p)