205k views
5 votes
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?

User Janene
by
7.8k points

1 Answer

2 votes

Answer:

15 miles

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=√(17^2-8^2) \\\\=15\ \text{miles}

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

User Nellbryant
by
9.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories