A tree with a height of 3 m is located 8 steps from the lamppost and casts a shadow 4 steps long.
| December 18, 2020 | education
A tree with a height of 3 m is located 8 steps from the lamppost and casts a shadow 4 steps long. Determine the height of the lamppost.
If we take steps for meters, then the tree is 8 meters away, and the length of the shadow is 4 meters. If we consider the whole situation as two similar triangles, the task is easy to solve.
First, we find the distance from the base of the pillar to the end of the shadow:
8 + 4 = 12 meters
Now let’s find the coefficient of similarity: 12/4 = 3
Next, we multiply the tree height by the similarity factor:
3 * 3 = 9 meters – post height
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