Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

An electric pole, 14 meter high, casts a shadow of 10 meters. Find the height of a tree that casts a shadow of 15 meters under the similar conditions?

Options:

6 m

12 m

21 m

10 m

Correct Answer:

21 m

Explanation:

Ratio of length of electric pole : pole Shadow

= 14 : 10

= 7 : 5

In similar condition,

Ratio of length of tree : tree shadow also

= 7 : 5

Length of tree shadow = 15m

5R = 15

1R = 3

Length of tree = 7R = 7 × 3

= 21 m

The correct answer is Option (3) → 21 m