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

Answer With Solution

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

  2. 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

  3. 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.

  4. Reply option daggara click cheyyu..
    Nee peru pakkana oka imag symbol vuntundi akkada clik cheste neeke ardam aipotundi

  5. 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

  6. 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?

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

  8. 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

  9. 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?

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