1. **State the problem:** A pilot is flying at an altitude of 528 feet and needs to land on a strip 2000 feet away horizontally. We need to find the angle of depression, which is the angle between the horizontal line from the pilot and the line of sight to the landing strip.
2. **Identify the right triangle:** The altitude (vertical leg) is 528 feet, the horizontal distance (horizontal leg) is 2000 feet, and the angle of depression is the angle between the horizontal leg and the hypotenuse.
3. **Use the tangent function:** The tangent of the angle of depression $\theta$ is the ratio of the opposite side (altitude) to the adjacent side (horizontal distance):
$$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{528}{2000}$$
4. **Calculate the angle:**
$$\theta = \tan^{-1}\left(\frac{528}{2000}\right)$$
5. **Evaluate the fraction:**
$$\frac{528}{2000} = \frac{\cancel{528}}{\cancel{2000}} = 0.264$$
6. **Find the inverse tangent:**
$$\theta = \tan^{-1}(0.264) \approx 14.8^\circ$$
7. **Conclusion:** The pilot should use an angle of depression of approximately **14.8 degrees** to land.
Angle Depression 644Def
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