CAT Quantitative Aptitude Questions | Geometry Questions for CAT - Trigonometry

CAT Questions | CAT Trigonometry Questions |Heights and Distance

The question is from CAT Geometry - Trigonometry. This is about Heights and Distances. Our task is to find out the time taken to reach the tower by comparing the given details. Trigonometry is an important topic for CAT Preparation for the CAT Exam. Trigonometric ideas can be completely opposite, as in, some questions test lot of common sense with direction, heights and distances, while others could test you on identities. CAT exam could test one on both these fronts. Make sure you master both in CAT - Trigonometry.

Question 9: A man standing on top of a tower sees a car coming towards the tower. If it takes 20 minutes for the angle of depression to change from 30° to 60°, what is the time remaining for the car to reach the tower?

  1. 20√3 minutes
  2. 10 minutes
  3. 10√3 minutes
  4. 5 minutes

Rs. 2500 off on 2IIM Ultimate DI LR Course for CAT 2019. Offer valid till March 24th.


Signup to sample the Best CAT Online Coaching


Best CAT Coaching in Chennai


Starts Sat, Mar 23, 2019


Explanatory Answer

Method of solving this CAT Question from CAT Geometry - Trigonometry : Does the angle of depression increase as we go nearby?

From the figure:-
CAT : Geometry: trigonometry6
tan 30° = \\frac{h}{(a+b)}\\)
tan 60° = \\frac{h}{b}\\)
∴ \\frac{(a+b)}{√3}\\) = b√3
=> a + b = 3b
=> 2b = a
=> b = \\frac{a}{2}\\)

Now since the car takes 20 minutes to travel a distance
Time taken to travel b = \\frac{a}{2}\\) distance = \\frac{20}{2}\\) = 10 minutes

The question is "What is the time remaining for the car to reach the tower?"

Hence, the answer is 10 minutes

Choice B is the correct answer.

 

Online CAT Coaching
Try it free!

Register in 2 easy steps and start learning in 30 seconds!

★ Sign up for Free

Already have an Account?

★ Login to Continue

CAT Coaching in Chennai

Next Weekend Batch Starts Sat, Mar 23rd, 2019

★ CAT Coaching Info

Best CAT Coaching in Chennai

Sign up for a Free Demo of our CAT Coaching in Chennai

★ Schedule Demo


CAT Preparation Online | CAT Geometry - Trigonometry Videos On YouTube


Other useful sources for Geometry Questions | Trigonometry Questions


CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT


Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
10-C, Kalinga Colony, Bobbili Raja Salai
K.K.Nagar, Chennai. India. Pin - 600 078

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com