Example 2 An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that casts a shadow of 15 metres under similar conditions.
Given,
14 metres high pole costs a shadow of 10 metres
We need to find height of tree that casts a shadow of 15 meters
Let height of tree be x m
Thus, our table looks like
Now, as the height of object increases,
the length of its shadow also increases
∴ They are in direct proportion.
14/10 = 𝑥/15
14/10 × 15 = 𝑥
14/2 × 3 = 𝑥
7 × 3 = 𝑥
21 = 𝑥
𝑥 = 21
∴ Height of tree is 21 m

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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