Final answer:
Lois Lane would have to walk approximately 13 blocks to reach Superman, while Superman would have to fly approximately 12 blocks to reach Lois Lane. To reach Lois Lane as quickly as possible, Superman should fly in a straight line towards her.
Step-by-step explanation:
To find the distance Lois Lane would have to walk to reach Superman, we can use the concept of the Pythagorean theorem.
Since the streets and avenues are separated by 100 m, we can imagine the distance Lois Lane would have to walk as the hypotenuse of a right triangle.
The legs of the triangle represent the number of blocks she would have to walk east and north respectively.
Therefore, the distance she would have to walk can be calculated as the square root of the sum of the squares of these lengths.
Using this approach, we can find that Lois Lane would have to walk approximately 13 blocks to reach Superman.
To find the distance Superman would have to fly to reach Lois Lane, we can also use the concept of the Pythagorean theorem.
This time, the legs of the right triangle represent the number of blocks Superman would have to fly east and north respectively.
Therefore, the distance Superman would have to fly can be calculated as the square root of the sum of the squares of these lengths.
Using this approach, we can find that Superman would have to fly approximately 12 blocks to reach Lois Lane.
In order to reach Lois Lane as quickly as possible, Superman should fly in a straight line towards her.
This would be in a direction that connects the centers of their respective blocks, which can be determined by drawing a line between the centers of 33rd Street and 45th Street, as well as between 3rd Avenue and 12th Avenue.