Final answer:
To determine the height of the pole, we would use the concept of similar triangles and the ratio of the stick's height to its shadow. We would solve for the pole's height if we had the length of its shadow, which is not provided in the question.
Step-by-step explanation:
The question involves using similar triangles to determine the height of a pole based on the length of a shadow cast by a stick. To solve this, we can set up a ratio using the stick and its shadow as a reference to find the height of the pole. If the stick is 25 cm tall and casts a shadow that is 5 cm long, and the pole also casts a shadow at the same time under the same conditions, we can calculate the height of the pole by using cross-multiplication.
First, let's assume the shadow of the pole is 'x' cm. The ratio of the height of the stick to its shadow is equal to the ratio of the height of the pole to its shadow:
25 cm / 5 cm = height of the pole / x cm
From this, we can calculate the height of the pole once we know the length of its shadow. Since the shadow length of the pole is not given in the question, we cannot solve for the height of the pole with the given information. If the shadow length were provided, we would multiply the height of the stick by the shadow length of the pole and then divide by the shadow length of the stick to find the height of the pole.