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Are you a
Spatial Thinker?
Security   Description: A man measuring
                Camera
                           173.2 cm just enters into the
                           view of a security camera
                           having a circular footprint on
         Find Field        the floor. After moving 1 more
         of View
                           metre, the whole frame of the
                           man comes into the camera’s
                           view.
     173.2 cm

                                  Q: Determine the
                                  angle subtended
                                  by the camera
                                               Answer
1m
Q ??
         Find the approximate speed of the boat
Answer   (rounded off to the nearest integer)
1 cm

                               1 cm




                                              Answer

Determine the area of a tank in hectares measuring
  1 cm by 1 cm on a 1: 100,000 scale map
N


                       300



                        350
                                               Description:
                             300               Contours are lines
                                   250         joining places having
                                         200   equal elevation.

                                                           Answer

What main feature does the contour lines probably indicate?
a) Volcanic crater b) A conical hill ridging towards the north
c) Sea surface bathymetry d) Valley
Description: My plane
                                started at 1.00 p.m IST
                Somewhere
                                from Chennai and landed
                   here
                                on an island in the Indian
                                Ocean at 8 p.m. local
                                time. My return journey
                                took me 4 hours.

Q1: What is the time in the island when it’s 12.00 p.m
in London? (Assuming the plane flew at constant
speed) (8 marks)
Q2: Can you guess the name of the island? (2 marks)
                                                  Answer
Description: I planned
                   this route on a topo
                   map for a leisure
                   trekking. I know I am
                   not following the
                   shortest path.




What am I doing here? (6 marks)
Why am I doing that? (4 marks)        Answer
Description:
                               Equator    Area of Island 1
                               Island 1         ==
                               Island 2   Area of Island 2


Which of following Is true when the globe is projected on a
                      Mercator plane?
   a) Isle 1 appears larger b) Isle 2 appears larger
       c) Both appears in the same size and shape
      d) Size is preserved, while shape is distorted Answer
NOT A RUBIK’S CUBE
                  The outer sides of a plane
                  cube are painted with six
                  different colors.




         Q: How many faces of the cube have
         a) Just two side colored (4)
         b) Just one side colored (3)
Answer
         c) No sides colored (3)
Answer


                            Θ = tan -1 (1/1.732)
                      θ     = tan-1 (1/√3) = 30 deg
                      2θ
                            2 Θ = 60 degrees


              θ
                  1.732 m




         1m
300
                                       600


        100 m

                           600
                                             300



X+Y = 100 √3; x= 100/ √3           x               y
Y = 100 √3 – 100/ √3 = 200/ √3
= 200/1.732 = 115.4

Speed = 115.4/10 = 11.5 m/s
Answer


Area on map = 1 cm X 1 cm = 1 cm 2
= 1 X 100000 X 1 X 100000 cm 2 on ground
= 1000 m X 1000 m on ground
= 10 6 sq.m = 10   2   hectares = 100 hectares
Answer



            A volcanic Crater

  The elevation decreases at the top of
  the hill indicating a depression
  formed due to a volcanic activity
The islands are separated by an international
boundary and the International Date Line(180
degree longitude) which is approximately 1 km
from each island.

The Diomede Islands are sometimes called
Tomorrow Island (Big Diomede) and Yesterday Isle
(Little Diomede)
Answer
The journey time is just 4 hrs
So time lag between the island and Chennai is (7 – 4 ) = 3 hrs
IST = London time (GMT) + 5 hrs 30 mins
So the local time at island = 5 hrs 30 min + 3 hrs = 8 hrs 30 min
So at 12 p.m GMT, the time at island is 8.30 p.m

The island is the island nation of SINGAPORE
Answer



I am doing CONTOURING, by walking along the contours

Contouring allows you to avoid walk over the top of large hills and
mountains, potentially saving you time and energy.
Answer

         B) ISLE 2 APPEARS LARGER


  Isle 2 appears larger coz, the projection surface is
  away from the globe as the place gets away from the
  equator. So places at higher latitudes, appear larger
  than they are on a cylindrical Mercator projection
Answers:
a) two side colored : 8
b) Just one side colored : 6
c) No sides colored : 1

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Are you a Spatial thinker

  • 1. Are you a Spatial Thinker?
  • 2. Security Description: A man measuring Camera 173.2 cm just enters into the view of a security camera having a circular footprint on Find Field the floor. After moving 1 more of View metre, the whole frame of the man comes into the camera’s view. 173.2 cm Q: Determine the angle subtended by the camera Answer 1m
  • 3. Q ?? Find the approximate speed of the boat Answer (rounded off to the nearest integer)
  • 4. 1 cm 1 cm Answer Determine the area of a tank in hectares measuring 1 cm by 1 cm on a 1: 100,000 scale map
  • 5. N 300 350 Description: 300 Contours are lines 250 joining places having 200 equal elevation. Answer What main feature does the contour lines probably indicate? a) Volcanic crater b) A conical hill ridging towards the north c) Sea surface bathymetry d) Valley
  • 6.
  • 7. Description: My plane started at 1.00 p.m IST Somewhere from Chennai and landed here on an island in the Indian Ocean at 8 p.m. local time. My return journey took me 4 hours. Q1: What is the time in the island when it’s 12.00 p.m in London? (Assuming the plane flew at constant speed) (8 marks) Q2: Can you guess the name of the island? (2 marks) Answer
  • 8. Description: I planned this route on a topo map for a leisure trekking. I know I am not following the shortest path. What am I doing here? (6 marks) Why am I doing that? (4 marks) Answer
  • 9. Description: Equator Area of Island 1 Island 1 == Island 2 Area of Island 2 Which of following Is true when the globe is projected on a Mercator plane? a) Isle 1 appears larger b) Isle 2 appears larger c) Both appears in the same size and shape d) Size is preserved, while shape is distorted Answer
  • 10. NOT A RUBIK’S CUBE The outer sides of a plane cube are painted with six different colors. Q: How many faces of the cube have a) Just two side colored (4) b) Just one side colored (3) Answer c) No sides colored (3)
  • 11. Answer Θ = tan -1 (1/1.732) θ = tan-1 (1/√3) = 30 deg 2θ 2 Θ = 60 degrees θ 1.732 m 1m
  • 12. 300 600 100 m 600 300 X+Y = 100 √3; x= 100/ √3 x y Y = 100 √3 – 100/ √3 = 200/ √3 = 200/1.732 = 115.4 Speed = 115.4/10 = 11.5 m/s
  • 13. Answer Area on map = 1 cm X 1 cm = 1 cm 2 = 1 X 100000 X 1 X 100000 cm 2 on ground = 1000 m X 1000 m on ground = 10 6 sq.m = 10 2 hectares = 100 hectares
  • 14. Answer A volcanic Crater The elevation decreases at the top of the hill indicating a depression formed due to a volcanic activity
  • 15. The islands are separated by an international boundary and the International Date Line(180 degree longitude) which is approximately 1 km from each island. The Diomede Islands are sometimes called Tomorrow Island (Big Diomede) and Yesterday Isle (Little Diomede)
  • 16. Answer The journey time is just 4 hrs So time lag between the island and Chennai is (7 – 4 ) = 3 hrs IST = London time (GMT) + 5 hrs 30 mins So the local time at island = 5 hrs 30 min + 3 hrs = 8 hrs 30 min So at 12 p.m GMT, the time at island is 8.30 p.m The island is the island nation of SINGAPORE
  • 17. Answer I am doing CONTOURING, by walking along the contours Contouring allows you to avoid walk over the top of large hills and mountains, potentially saving you time and energy.
  • 18. Answer B) ISLE 2 APPEARS LARGER Isle 2 appears larger coz, the projection surface is away from the globe as the place gets away from the equator. So places at higher latitudes, appear larger than they are on a cylindrical Mercator projection
  • 19. Answers: a) two side colored : 8 b) Just one side colored : 6 c) No sides colored : 1