Question:
A father and his son are waiting at a bus stop in the evening. There is a lamp post behind them. The lamp post, the father, and his son stand on the same straight line. The father observes that the shadows of his head and his son's head are incident at the same point on the ground. If the heights of the lamp post, the father, and his son are 6 metres, 1.8 metres, and 0.9 metres respectively, and the father is standing 2.1 metres away from the post, then how far (in metres) is the son standing from his father?
A father and his son are waiting at a bus stop in the evening. There is a lamp post behind them. The lamp post, the father, and his son stand on the same straight line. The father observes that the shadows of his head and his son's head are incident at the same point on the ground. If the heights of the lamp post, the father, and his son are 6 metres, 1.8 metres, and 0.9 metres respectively, and the father is standing 2.1 metres away from the post, then how far (in metres) is the son standing from his father?
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Use similar triangle properties for shadow problems, where the heights and distances form proportional relationships.
Updated On: Aug 1, 2025
- 0.9
- 0.75
- 0.6
- 0.45
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The Correct Option is C
Solution and Explanation
Using similar triangles formed by the father and son and their shadows, we can calculate the distance between them. The equation based on the similarity of the triangles gives the solution as 0.6 metres.
\[
\boxed{0.6}
\]
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