# MATHS : QUIZ (Heights Distances)

1.Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is:
A. 300 m
B. 173 m
C. 273 m
D. 200 m

2. An observer 2 m tall is 10v3 m away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The height of the tower is:
A. None of these
B. 12 m
C. 14 m
D. 10 m
3. The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 12.4 m away from the wall. The length of the ladder is:
A. 14.8 m
B. 6.2 m
C. 12.4 m
D. 24.8 m
4. What is the area of an obtuse angled triangle whose two sides are 8 and 12 and the angle included between two sides is 1500?
A. 24 sq units
B. 48 sq units
C.  34 sq units
D. 44 sq units
5. If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have?
A. 10 sides
B. 8 sides
C. 12 sides
D.9 sides
6.A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man’s eye when at a distance of 100 metres from the tower. After 10 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?
A. 26.28 km/hr
B. 32.42 km/hr
C. 24.22 km/hr
D. 31.25 km/hr
7.The angle of elevation of the top of a tower from a certain point is 30°. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15°. The height of the tower is:
A. 64.2 m
B. 62.2 m
C. 52.2 m
D. 54.6 m
8.A flagstaff is placed on top of a building. The flagstaff and building subtend equal angles at a point on level ground which is 200 m away from the foot of the building. If the height of the flagstaff is 50 m and the height of the building is h, which of the following is true?
A. h^3 – 50h^2 + (200)^2h + (200)^2 = 0
B. None of these
C. h^3 + 50h^2 + (200)^2h – (200)^2 = 0
D. h^3 – 50h^2 – (200)^2h + (200)^2 = 0
9.A vertical pole fixed to the ground is divided in the ratio 1:9 by a mark on it with lower part shorter than the upper part. If the two parts subtend equal angles at a place on the ground, 15 m away from the base of the pole, what is the height of the pole?
A. 60v5 m
B. 15v5 m
C. 15v3 m
D. 60v3 m

10.When the sun’s altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70m. What is the height of the tower?
A. 35 m
B. 140 m
C. 60.6 m
D. 20.2 m

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## Join the Conversation

1. kumar says:

Thank u soooo much mam

2. kumar says:

10-c

3. mohinibisawa says:

4. Vartika says:

Will post answers in few time.

5. ankit says:

C a d b a a d _ _ c

6. kumar says:

Mam plz check d options of 3 question,,,option c is 21.4 but u r given12.4,,,,

7. kumar says:

R u sure,,,

8. Rinku saini says:

bhai ye second question mae 10 v3 kya hai kaise nikaale

9. Rinku saini says:

4 mae bata bna angle 1500 kaise saamja nahin aaya mujhe

10. kumar says:

10 root3

11. Rinku saini says:

ok thanks

12. Rinku saini says:

4th mae ye angle 1500 kya hai explain please

13. ankit says:

I m not sure infct I couldn't understand the language of 2-3 ques

14. ankit says:

Bhai memo b smjh ni aya 10 liya h Maine to bss

15. kumar says:

I think 150 degrees,,,

16. Rinku saini says:

ye 15oo walaa to bata

17. kumar says:

4 th question 150 degrees na,,,

18. Rinku saini says:

aachaa ok ji

19. ankit says:

Bhai 3rd answer is d I m cnfrm abt it

20. kumar says:

21. Vartika says:

22. Rinku saini says:

solved this question please draw diagram

23. kumar says:

Option A=root3/2

24. kumar says:

Key point is two consective km Stones means gap 1 km,,

25. kumar says:

Yes bro,,my mistake,in 3 rd one i am finding Height instead of length,,,,even no problem,,,l=24.8;;;;h=21.4

26. NAVEEN says:

i got Syndicate clerical.., and i went to near banks and asked the POs recruited in a last few yrs abt their job nt even a single PO satisfied vt their job and all are saying go for SSC or state or Civils.., most of my friends also saying the same .., please friend i need your valuable suggestion .., whether sud I prepare for SBI PO n IBPS PO or SSC CGL? ..i am in General Category already 26 years old

27. Vartika says:

Satisfacion of job is totally dependent on you. You have to love whatever you are doing. People will say everything to put down but what matters the most is, you need this job and you should respact this.

28. Rinku saini says:

yaar please diagram baand de yaar

29. kumar says:

30. Happy says:

Hey bro u hve not responded to my mail

31. Happy says:

Nee peru pakkana oka imag symbol vuntundi akkada clik cheste neeke ardam aipotundi

32. Rinku saini says:

dekh ye tune aaise hi banaya hai kya diagram mera answer underroot3/4 aa raha hai ya tune ye dono angle 1 hi side mae liye hai

jab tu comment kaarta hai na comment kae nicchle hisse mae ek chota sa icon aata hai left side mae ussme click kaar wahan se image uplaod hoti hai

33. u can says:

i would up vote SSC CGL………….

34. NAVEEN says:

i want my job in one place mam unlike as an officer in banking i have to be ready for frequent transfers.., as my well wisher what do u say mam?

35. NAVEEN says:

thnks dear..,ur preparing for it?

36. u can says:

Good decision…

37. u can says:

Ur selected in ibps 4?

38. NAVEEN says:

hmmm … i am unable to take my decision 100% bro..,plz say something

39. NAVEEN says:

yes bro.., IBPS PO IV..,missed PO by 0.4 as a General candidate .., i should take decision wisely due to my age factor

40. u can says:

When is ur joining date..

41. NAVEEN says:

i am 25 and 11 months ..lol may be last chance for me to appear for ssc

42. NAVEEN says:

yet to come bro.., expecting May end of the week or June

43. u can says:

It's very tough decision bcz u have very less time to win in ssc…

44. NAVEEN says:

i still have 3 months time right? exam is in Aug know

45. NAVEEN says:

last yr with out any prep i got
Reas 39
Eng 28
maths 14
GS 6
not cleared tier I as per official key score

46. NAVEEN says:

i want to work hard this 3months for GS and maths

47. u can says:

Ha..so u can prepare….do ur best….

48. u can says:

Best of luck..

49. NAVEEN says:

thnks a lot bro i am atleast i got one person to support me..,.., iknow i sud get atleast 140 in Tier I this time..,wr r u from bro? when u strtd ur prep?

50. u can says:

AP..

51. u can says:

Since 2012…

52. NAVEEN says:

AP ha cool bro m form hyderabad

53. NAVEEN says:

2012 nunchi bank jobs prep autunava?

54. u can says:

Ha…

55. u can says:

K. I also hyd

56. NAVEEN says:

u hv gud patience bro.., any coaching for ssc?

57. NAVEEN says:

pls say some good buks for maths and GS bro to score gud..,

58. u can says:

Times for bank NT for ssc

59. NAVEEN says:

NT ?///

60. u can says:

N u from which year preparing for bank

61. NAVEEN says:

June 2014..,

62. NAVEEN says:

NT yenti?

63. u can says:

Ssc kosamem coaching teskoledu

64. NAVEEN says:

actual ga avasaram ledu kada ssc ke coaching..,

65. NAVEEN says:

bank ke ISB lo teeskunna nenu

66. Deep says:

Option 3

67. Deep says:

Explanation

68. ankit says:

Rinku ydi solution na mila ho to tell me I vl upload solution

69. u can says:

K..

70. u can says:

Ha…

71. Ian Singh says:

here is the pics and sol..

72. NAVEEN says:

wats ur name ?can u plz tell me how to get gud marks in maths and GS

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