1. **State the problem:** We need to find the measure of the angle labeled with a question mark (?) in a right triangle where the opposite side length is 70 and the adjacent side length is 39.
2. **Formula used:** To find an angle in a right triangle when opposite and adjacent sides are known, use the tangent function:
$$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$
3. **Apply the formula:**
$$\tan(\theta) = \frac{70}{39}$$
4. **Calculate the ratio:**
$$\tan(\theta) = 1.79487$$
5. **Find the angle:** Use the inverse tangent (arctan) to find $\theta$:
$$\theta = \tan^{-1}(1.79487)$$
6. **Evaluate the angle:**
$$\theta \approx 60.9^\circ$$
7. **Conclusion:** The angle labeled with ? is approximately $60.9^\circ$.
Angle From Sides 75Ee19
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