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A 5 M 60 Cm High Vertical Pole Casts a Shadow 3 M 20 Cm Long. Find at the Same Time The Length of the Shadow Cast by Another Pole 10 M 50 Cm High - CBSE Class 8 - Mathematics

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Question

A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the length of the shadow cast by another pole 10 m 50 cm high

Solution

Let the length of the shadow of the other pole be x m.

1 m = 100 cm

The given information in the form of a table is as follows.

Height of pole (in m) 5.60 10.50
Length of shadow (in m) 3.20  x

More the height of an object, more will be the length of its shadow.

Thus, the height of an object and length of its shadow are directly proportional to each other. Therefore, we obtain

`5.60/3.20 = 10.50/x`

=> `x = (10.50xx3.20)/5.60 = 6`

Hence, the length of the shadow will be 6 m.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 13: Direct and Inverse Proportions
Ex. 13.10 | Q: 9.1 | Page no. 208

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Solution A 5 M 60 Cm High Vertical Pole Casts a Shadow 3 M 20 Cm Long. Find at the Same Time The Length of the Shadow Cast by Another Pole 10 M 50 Cm High Concept: Concept of Direct Proportion.
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