Height and Distance Questions and Answers for Competitive Exams

Height and Distance Questions and Answers for SSC and Bank Exams:

Q.11. A man on the top of vertical observation tower observes a car moving at a uniform speed coming directly towards it. If it takes 12 minutes for the angle of depression to change from 30⁰ to 45⁰, how soon after this will the car reach the observation tower ?

(a) 14 min. 35 sec.

(b) 15 min. 49 sec.

(c) 16 min. 23 sec.

(d) 18 min. 5 sec.

Q.12. If the angle of elevation of the sun changes from 30⁰ to 45⁰, the length of the shadow of a pillar decreases by 20 meters. The height of the pillar is: 

(A) 20 (√3-1) m

(B) 20 (√3+1) m

(C) 10 (√3-1) m

(D) 10 (√3+1)

Q.13. At a point on a horizontal line through the base of monument the angle of elevation of the top of the monument is found to be such that its tangent is 1/5. On walking 138 meters towards the monument the scant of the angle of elevation is found be √193\12. The height of the monument (in metre) is

(A) 42

(B) 49

(C) 35

(D) 56

Q.14. The distance between two pillars of length 16 metres and 9 metres is x metres. If two angles of elevation of their respective top from the bottom of the other are complementary to each other then the value of x (in metres) is 

(A) 15

(B) 16

(C) 12

(D) 9

Q.15. The angle of elevation of the top of a building from the top and bottom of a tree are x and y respectively. If the height of the tree is h metre, then (in metre) the height of the building is 

  $$(A)\ {h\ cot\ x\over cot\ x+ cot \ y}$$

  $$(B)\ {h\ cot\ y\over cot\ x+ cot \ y}$$

  $$(C)\ {h\ cot\ x\over cot\ x- cot \ y}$$

  $$(D)\ {h\ cot\ y\over cot\ x- cot \ y}$$

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