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stellarik [79]
3 years ago
10

Estimate the height of a tree using the following measurements:height of the rod:180 cm,length of the shadow of the rod is 116 c

m,length of the shadow of the tree:840 cm,calculate the height of the tree
​
Mathematics
1 answer:
andriy [413]3 years ago
6 0

Answer:

1303.45 cm

Step-by-step explanation:

The triangles formed by a rod and its shadow and a tree and its shadow are similar triangles, so the ratios of their heights to the lengths of their shadows are equal.

Let x be the height of the tree. Setting the ratios equal, we get:

180/116 = x/840

Solve for x:

x = 840 * (180/116)

x ≈ 1303.45 cm

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