Math  /  Trigonometry

Question22. Find the measure of θ\theta in the given figure.

Studdy Solution
Solve for θ\theta by taking the inverse cosine:
θ=cos1(37.62) \theta = \cos^{-1}\left(\frac{3}{7.62}\right)
Calculate θ\theta using a calculator:
θcos1(0.3932) \theta \approx \cos^{-1}(0.3932)
θ67.02 \theta \approx 67.02^\circ
The measure of θ\theta is approximately:
67.02 \boxed{67.02^\circ}

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