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

Question

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] · Answer 1 · 2022-06-25T06:47:44+03:00

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