Question

The locations in a city are mapped out on a grid, where the origin represents the city center. A traffic helicopter travels due north and then due east to get from the location at (-3, 4) to the location at (7, 13).
About how many fewer units would the helicopter have traveled if it went directly from one location to the other?

A) 4.7 fewer units

B) 5.5 fewer units

C) 13.5 fewer units

D) 15.2 fewer units​

Answer 1

Answer:

 The correct answer is Option B.) 5.5 fewer units

Step-by-step explanation:

i) A traffic helicopter travels due north and then due east to get from the location at (-3, 4) to the location at (7, 13).

ii) units traveled due north = (13 - 4)  = 9 units

   units traveled due east = (7 - (-3) ) = 10 units

  total 19 units

iii) units traveled by helicopter if it went directly from one location to the other

   $= \sqrt{10^{2} + 9^{2} } = \sqrt{181} = 13.454\hspace{0.1cm} units$

 iv) the number of fewer units that would be traveled if helicopter went directly from one location to the other.

       19 - 13.454 = 5.5 fewer units

   the correct answer is Option B.) 5.5 fewer units