Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If tan A = $\frac{2.4}{0.7}$, what is the value of (50 cos A + 24 cot A) ?

Options:

21

37

26

34

Correct Answer:

21

Explanation:

Given :- tanA = \(\frac{2.4}{0.7}\) = \(\frac{P}{B}\)

Using triplet ( 24 , 7 , 25 ) We find that H = 2.5

Now , (50 cos A + 24 cot A) 

= (50× \(\frac{B}{H}\) + 24 ×\(\frac{B}{P}\) ) 

= (50× \(\frac{0.7}{2.5}\) + 24 ×\(\frac{0.7}{2.4}\) ) 

= 14 + 7

= 21