Question

A pole of 8 m height casts a 10m long shadow. Find the height of the tree that casts a 40 m
long shadow under similar conditions.

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Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given:

A pole of height = 8 m

Length of shadow of the pole = 10 m

In the similar condition,

Length of shadow of a tree = 40 m

To find:

Height of the tree.

Solution:

Since, conditions under which a pole (PQ) and the tree (AB) are casting the shadows (QR and BC) are same.

Triangles formed by the objects and shadows will be similar.

ΔABC ~ ΔPQR

Therefore, by the property of similarity corresponding sides of these triangles will be proportional.

$\frac{AB}{PQ}=\frac{BC}{QR}$

$\frac{h}{8}=\frac{40}{10}$

h = 8 × 4

h = 32 m

Therefore, height of the tree is 32 m.