CAT Practice : Trigonometry

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Max and Min value of the given expression

Height and Distances

    Q.8: Ram and Shyam are 10 km apart. They both see a hot air balloon passing in the sky making an angle of 60° and 30° respectively. What is the height at which the balloon could be flying?
    1. 5√3
    2. Both A and B
    3. Can’t be determined

 

  • Correct Answer
    Choice C. Both A and B

Explanatory Answer

Detailed Solution

Case 1 :



tan 30° =

∴ h =

tan 60° =

=) h = (10 – x) √3

∴ (10 – x) √3 =

=) 30 – 3x = x =)x =

=) ∴h =

Case 2 :



tan 60° = =) h =

Also,

tan 30° =

=) h = =) 3x – x = 10

=) x = 5

H = 5√3

∴ Answer – c)

Answer choice (C)

Correct Answer: Both A and B



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  3. Height and Distances
Trigonometry..........