Notice that the height of the object remains constant. Find the tangent of two different angles of elevation. If A and B are acute angles and tan A < tan B, then m∠ A < m∠ B.
True
Practice makes perfect
Let's illustrate the given situation. Let's place a person and an object.
The elevation angle is the angle formed between the horizontal line and the line of sight.
Check what happens when the person moves closer to the object.
Notice that the value of x does not change as the person moves, while the values of h and s do. Let h_1 be the horizontal distance and ∠ P_1 be its corresponding elevation angle such that h_1 < h.
x/h < x/h_1
⇒
tan P < tan P_1
From the latter inequality, we obtain that m∠ P < m∠ P_1. Therefore, the given statement is true.
As a persons moves closer to an object he or
she is sighting, the angle of elevation increases.
