To find the angle θ in the right triangle, we can use the cosine function, which is defined as the ratio of the length of the adjacent side to the length of the hypotenuse:
\[ \cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}} \]
In this case, the adjacent side is 12 cm and the hypotenuse is 20 cm:
\[ \cos(\theta) = \frac{12}{20} = 0.6 \]
To find the angle θ, we take the inverse cosine (arccos) of 0.6:
\[ \theta = \cos^{-1}(0.6) \]
Calculating this using a calculator:
\[ \theta \approx 53.13° \]
Therefore, the measure of the angle θ is approximately 53.13°.
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