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iren [92.7K]
3 years ago
7

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

Mathematics
1 answer:
I am Lyosha [343]3 years ago
3 0

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)

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