Suppose you leave your house and travel 13 mi due west. Then you travel 3 mi due south. How far, in miles, are you from your house as the crow flies (a straight line)? Round your answer to the nearest tenth if necessary.

Respuesta :

Answer: [tex]13.34\ \text{miles}[/tex]

Step-by-step explanation:

Given

First the person travels 13 mi west and then 3 mi due to south

The distance traveled by crow is represented by line BO

using Pythagoras theorem, we can write

[tex]\Rightarrow AO^2+AB^2=BO^2\\\Rightarrow BO^2=13^2+3^2\\\Rightarrow BO^2=178\\\Rightarrow BO=\sqrt{178}\\\Rightarrow BO=13.34\ \text{miles}[/tex]

Ver imagen nuuk