True or False, explain why true or false

Question

True or False. If true, give a convincing argument. If false, explain why it is false. Be sure to

use mathematical language in your explanation and include an illustration.

As an airplane flies toward you at a constant altitude horizontal to the ground, its angle

of elevation increases.

Answer 1

As the plane approaches, its height remains the same, but its horizontal distance away decreases. So the slope of the line determining its angle of elevation has an increasing tangent. As the tangent increases, so does its corresponding angle, the angle of elevation. The claim is true.

Answer 2