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Chapter 14: Q7. (page 574)

Is the distance between N and P on the globe the same as the corresponding distance on the polar map?

Short Answer

Expert verified

The corresponding distance on the polar map is not the same as the distance between $N$ and $P$ on the globe.

Step by step solution

01

Step 1. Given Information.

The given image of the globe is:

02

Step 2. Explanation.

When the globe is converted to a flat map or plane, the maps gets distorted due to which distance appear to be longer on maps than on the globes.

Also, globe is 3-dimensional and map is 2-dimensional. The globe is converted from 3-D to 2-D plane. So, the distance between the points will change.

03

Step 3. Conclusion.

Thus, the corresponding distance on the polar map is not the same as the distance between N and P on the globe.

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Most popular questions from this chapter

A rolling ball that does not have much spin will bounce off a wall so that the two angles that the path forms with the wall are congruent. Thus, to roll the ball from B off the wall shown and into hole H, you need to aim the ball so that 鈭�1鈮�鈭�2.

  1. Let H' be the image of H by reflection in the wall. BH'鈫� Intersects the wall at P. Why is 鈭�1鈮�鈭�3? Why is 鈭�3鈮�鈭�2? Why is 鈭�1鈮�鈭�2? You can conclude that if you aim for H', the ball will roll to H.
  2. Show that the distance travelled by the ball equals the distance H.
  1. Plot the points A6,1,B3,4, and C1,-3 and their images A',B', and C' under the transformation R:x,y鈫�-x,y.
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A person with eyes at A, 150 cm above the floor, faces a mirror 1 m away. The mirror extends 30 cm above eye level. How high can the person see on a wall 2 m behind point A?

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