Question

at a particular time a 2 metre ipol gives a set of 260 cm a tall tree in the same area at the same time gives a shadow of length 15 .7metre what is the height
of the tree?​

Answer 1

Answer:

The heights of the trees are directly proportional to the length of their shadows because at the same time of day, the sun will be at the same angle in the sky.

The trees and their shadows form 2 similar triangles:

Write as a proportion:

height

shadow

x

20

=

15

12

12

x

=

20

×

15

x

=

20

×

15

12

x

=

25

metres tall.

As check: find the constant for each tree:

15

12

=

1.25

and

25

20

=

1.25

Step-by-step explanation:

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