Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Asha and Suman's mud forts have heights 8cm and 16cm. Their tops are 17cm apart from each other, then the distance between two forts is:

Options:

14cm

15cm

16cm

17cm

Correct Answer:

15cm

Explanation:

Difference in height (DE) = 16 - 8 = 8 cm

Difference in top (AD) = 17cm

By pythagoras theorem, 

Base (AE) = \(\sqrt {AD^2\;-\;DE^2}\) = \(\sqrt {17^2 - 8^2}\) = 15 cm 

AE = BC = 15 cm