A person with a height of 1.5 m stands at a distance of 16 steps from the post on which the lantern hangs, the person’s shadow is 4 m. At what height is the lantern located?
The right-angled triangle ADE is similar to the right-angled triangle ABC in its acute angle at the vertex A.
Determine the distance of the AC. AC = AE + CE = 4 + 16 = 20 m.
Then, AC / BC = AE / DE.
20 / BC = 4 / 1.5.
BC = 20 * 1.5 / 4 = 7.5 m.
Answer: The lantern is located at a height of 7.5 meters.
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