Answer:
θ ≈ 50.0°
Explanation:
You want the measure of angle A in right triangle ABC with AC = 10, BC = 11.9, and C = 90°.
Tangent
The tangent relation is ...
Tan = Opposite/Adjacent
tan(θ) = BC/AC
tan(θ) = 11.9/10
θ = arctan(11.9/10) ≈ 50.0°
The measure of the angle marked θ is about 50.0°.
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