SOLUTION: To get to grandma's house, little red riding hood had to walk 5 km north then 10 km east, 3 km north, 12 km east, 2 km north, and 11 km east. How far is grandma's house from red's

Algebra ->  Triangles -> SOLUTION: To get to grandma's house, little red riding hood had to walk 5 km north then 10 km east, 3 km north, 12 km east, 2 km north, and 11 km east. How far is grandma's house from red's       Log On


   

Question 890224: To get to grandma's house, little red riding hood had to walk 5 km north then 10 km east, 3 km north, 12 km east, 2 km north, and 11 km east. How far is grandma's house from red's house(as the crow flies)?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add up all the walks heading east:
+10+ km
+12+ km
+11+ km
+10+%2B+12+%2B+11++=+33+ km
----------------------------
Add up all the walks heading north
+5+ km
+3+ km
+2+ km
+5+%2B+3+%2B+2+=+10+ km
----------------------
Use the pythagorean theorem
to find the straight line distance:
+d%5E2+=+33%5E2+%2B+10%5E2+
+d%5E2+-+1089+%2B+100+
+d%5E2+=+1189+
+d+=+sqrt%28+1189+%29+
+d+=+34.48+
It is 34.48 km to grandma's house
Hope I got it