Question

1. the perspective shift

a bird sits on a branch looking down at a cat on the ground. at the exact same time, the cat is looking up at the bird.

• the bird is using an angle of elevation / depression.
• the cat is using an angle of elevation / depression.
• true or false: if the bird’s angle is 35°, then the cat’s angle is also 35°.

1. identifying the horizontal

in the diagram below, which letter correctly represents the angle of depression?
hint: remember that these angles must be measured from a horizontal line of sight, not the vertical wall!

• your answer: ______
• why? ___________________________

Explanation:

Part 1: The Perspective Shift

First Bullet (Bird's Angle)

Step1: Recall angle definitions

Angle of depression is the angle between horizontal line of sight and line to object when looking down. The bird is looking down at the cat, so it uses angle of depression.

Step2: Confirm the choice

So the bird's angle is depression.

Second Bullet (Cat's Angle)

Step1: Recall angle definitions

Angle of elevation is the angle between horizontal line of sight and line to object when looking up. The cat is looking up at the bird, so it uses angle of elevation.

Step2: Confirm the choice

So the cat's angle is elevation.

Third Bullet (True or False)

Step1: Analyze the angles

The bird's angle of depression and the cat's angle of elevation are alternate interior angles (if we consider the horizontal lines and the line connecting bird and cat as transversal). Alternate interior angles are equal when lines are parallel (here horizontal lines are parallel).

Step2: Determine the answer

So if bird's angle is \(35^\circ\), cat's angle is also \(35^\circ\), so the statement is True.

Part 2: Identifying the Horizontal

(Note: Since the diagram is not provided, we can only explain the concept. The angle of depression is the angle between the horizontal line of sight and the line to the object when looking down. So the correct letter should be the one that forms an angle between the horizontal (not vertical wall) and the line of sight to the lower object. The "Why" would be: Angle of depression is measured from the horizontal line of sight (not vertical wall) to the line towards the object below, so the angle between horizontal and the line to the lower object is the angle of depression.)

Answer:

s:

1. The bird is using an angle of depression.
2. The cat is using an angle of elevation.
3. True or False: True.
4. (For the diagram part, assuming the diagram has a horizontal line and a line to a lower object, the correct letter is the one with angle between horizontal and that line. The reason is angle of depression is between horizontal line of sight and line to object below.)