Final answer:
The depth of the node value 45 requires more context to answer. For projectile motion, the range is zero at 90 degrees or 0 degrees. The x-component of a vector is greater than its y-component when the angle is less than 45 degrees.
Step-by-step explanation:
The depth of the node with value 45 is not determinable without additional information. However, if this is related to the questions below regarding projectile motion and vectors, these are separate concepts. The depth of a node typically refers to its level in a tree structure in computer science or data structures, which is a different context from physics problems related to angles of projectiles or components of vectors.
For a projectile, the range is equal to zero when the angle of projection is either straight up or straight down. The angles that satisfy this condition are 90° (straight up) or 0° (straight down or no projectile motion), making option c. 90° or 0° the correct choice for the angle at which the range of a projectile is zero.
The x-component of a vector will be greater than its y-component when the angle from the horizontal is less than 45°; that is, when 0° < θ < 45°. This is because at angles less than 45°, the horizontal projection (x-component) of the vector is longer than the vertical projection (y-component), which answers question 40.