13.34 mi
from question,
perpendicular (p) = 3mi
base(b) = 13 mi
hypotenuse (h) = ?
from Pythagoras theorem,
h^2 = p^2 + b^2
h = √(3^2 + 13^2)
h = √(9+169)
h= √(178)
h= 13.34 mi
Answer:
≈ 13.3 miles
Step-by-step explanation:
a line due west and a line due south form a right triangle with the hypotenuse being the direct distance x from the house.
using Pythagoras' identity in the right triangle , then
x² = 13² + 3² = 169 + 9 = 178 ( take square root of both sides )
x = [tex]\sqrt{178}[/tex] ≈ 13.3
distance from house ≈ 13.3 miles ( to the nearest tenth )
