Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

The length of the shadow of a tree of height 5.4 m is 9.6 m. At the same time, the length of the shadow of a building 43.2 m high is:

Options:

72 m

76.8 m

64 m

80.2 m

Correct Answer:

76.8 m

Explanation:

The given ratio of height and length:

⇒ Tree : Shadow = 5.4 : 9.6 = 9 : 16

*At the same time the above ratio remains same*

Therefore, ratio of height and length:

⇒ Building : Shadow = 9 : 16

Here,

⇒ 9R = 43.2

⇒ Length of shadow = 16R = \(\frac{43.2}{9}\) × 16 = 76.8