From his house, Shane could drive due north to get to his parents' house or he could drive due east to get to his grandparents'

Question

2 years ago

11

From his house, Shane could drive due north to get to his parents' house or he could drive due east to get to his grandparents'

house. It is 8 miles from Shane's house to his parents' house and a straight-line distance of 17 miles from his parents' house to his grandparents' house. How far is Shane from his grandparents' house?

Mathematics

1 answer:

lord [1] · Answer 1 · 2022-12-09T08:01:54+03:00

Answer:

15 miles

Step-by-step explanation:

It is given that,

Shane could drive due north to get to his parents' house or he could drive due east to get to his grandparents' house.

It is 8 miles from Shane's house to his parents' house and a straight-line distance of 17 miles from his parents' house to his grandparents' house.

It can be calculated by considering a right angled triangle. Using pythagoras theorem, we can find the distance between Shane from his grandparents' house. Let it is d.

$d^2=\sqrt{17^2-8^2} \\\\=15\ \text{miles}$

Hence, Shane is 15 miles from his grandparents' house.