# XAT 2022 Question Paper | Quantitative Aptitude and Data Interpretation

###### XAT Previous Year Paper | XAT QADI Questions | Question 24

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Question 24 : A tall tower has its base at point K. Three points A, B and C are located at distances of 4 metres, 8 metres and 16 metres respectively from K. The angles of elevation of the top of the tower from A and C are complementary.

What is the angle of elevation (in degrees) of the tower's top from B?

1. 45
2. 15
3. 30
4. We need more information to solve this.
5. 60

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### Explanatory Answer

It is given that the angle of elevation from A and C are complementary.
The angles ∠TKA = ∠TKB = ∠TKC = $90^{$circ}$ Hence ∠TAK = ∠KCT and ∠KTC = ∠KAB So that the ΔTKC and ΔAKT are similar triangles $$frac{T K}{A K}$ = $\frac{K C}{T K}$ = $\frac{C T}{T A}$ $\frac{T K}{A K}$ = $\frac{K C}{T K}$ $T K^{2}=4 \times 16$ TK = 8 So ΔTKB is an isosceles triangle. Therefore angle of elevation at B is $45^{0}$ ##### The answer is '45' Choice A is the correct answer. ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Prepare for CAT 2024 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2024 Classroom Batches Starting Now! @Gopalapuram and @Anna nagar ###### Best CAT Coaching in Chennai Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ## CAT Questions | CAT Quantitative Aptitude ## CAT Questions | Verbal Ability for CAT ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Mobile:$91$ 99626 48484 / 94459 38484
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