Question

A light casts a shadow on a ball when the ball is 5 feet above the ground. The shadow is moving closer to the light at 30 feet per hour. How fast is the ball falling?

A. 15 ft/hour
B. 20 ft/hour
C. 25 ft/hour
D. 30 ft/hour

Answer 1

The question cannot be confidently answered with the given information as it lacks details about the spatial relationship between the light source, the ball, and its shadow to determine the ball's rate of falling.

Step-by-step explanation:

The question posed is related to rate of change and involves understanding the relationship between the speed at which the shadow of the ball is moving and the speed at which the ball itself is falling. Since the movement of the shadow is directly related to the movement of the ball, we can infer that the ball must be falling at a rate that causes the shadow to move inwards towards the light source at the given rate of 30 feet per hour. However, without additional information about the angles involved or the position of the light source relative to the ball, we cannot mathematically determine the rate at which the ball is falling just based on the shadow's speed. Therefore, with the given information, we cannot arrive at a confident answer.