Question

find the measure of the missing angle to the nearest degree.
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Explanation:

Step1: Recall tangent formula

$\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$

Step2: Identify opposite and adjacent

Here, opposite = 27, adjacent = 38, so $\tan\theta=\frac{27}{38}$

Step3: Calculate the angle

$\theta=\arctan(\frac{27}{38})\approx35^{\circ}$

Answer:

$35^{\circ}$