Chapter 1.1, Problem 37E

To determine

Howfar does the plane fly if an airplane flies fromNaples, Italy, in astraight line to Rome,Italy, which is120 kilometers northand 150 kilometerswest of Naples.

Answer to Problem 37E

Distance between Rome and Naples = 192.09 km

Explanation of Solution

Given info:

Rome, Italy is 120 kilometers north and 150 kilometers west of Naples.

Formula used:

  ${\text{Hypotenuse}}^{\text{2}}{\text{=Base}}^{\text{2}}{\text{+Perpendicular}}^{\text{2}}$

Calculation:

  

Here we need to find distance between Rome and Naples

From the right-angled triangle we have

  $\begin{array}{l}{\text{Hypotenuse}}^{\text{2}}{\text{=Base}}^{\text{2}}{\text{+Perpendicular}}^{\text{2}}\\ d^2={150}^2+{120}^2\\ d=\text{192}\text{.09km}\end{array}$

Distance between Rome and Naples = 192.09 km

Conclusion:

Thus,the distance between Rome and Naples is 192.09 km