Question

describe the angle as it relates to the situation in the diagram.\\(\angle 11\\)\
choose the correct answer below.\
\\(\bigcirc\\) a. \\(\angle 11\\) is the angle of elevation from the roof of the building to the firefighter.\
\\(\bigcirc\\) b. \\(\angle 11\\) is the angle of depression from the roof of the building to the firefighter.\
\\(\bigcirc\\) c. \\(\angle 11\\) is the angle of elevation from the firefighter to the roof of the building.\
\\(\bigcirc\\) d. \\(\angle 11\\) is the angle of depression from the firefighter to the roof of the building.

Explanation:

To determine the description of $\angle 11$, we recall the definitions of angle of elevation and angle of depression. The angle of depression is the angle formed between the horizontal line from an observer (at a higher position) and the line of sight to an object below. Here, the roof of the building is at a higher position than the firefighter. So, from the roof (observer's horizontal line) to the firefighter (object below), the angle $\angle 11$ is the angle of depression from the roof to the firefighter.

• Option A: Angle of elevation from roof to firefighter would be from a lower to higher, which is incorrect.
• Option C: Angle of elevation from firefighter to roof would be from firefighter (lower) to roof (higher), but $\angle 11$ is at the roof, so incorrect.
• Option D: Angle of depression from firefighter to roof would be from firefighter (lower) to roof (higher), which is the opposite, so incorrect.
• Option B matches the definition of angle of depression from the roof (higher) to the firefighter (lower).

Answer:

B. $\angle 11$ is the angle of depression from the roof of the building to the firefighter.