Question

Tim and holly left base camo and hiked 6 kilometers north, and turned due west and hiked another 8 kilometers. They stopped and ate lunch. After lunch, they returned to base camp by hiking in a straight line. How many kilometers did they hike after lunch.

Answer 1

10 km

Explanation:

The Angle formed by their travel is a right angled triangle (check attached picture) , hence we can apply Pythagoras rule :

Hypotenus = sqrt(opposite² + Adjacent²)

Hypotenus = distance hiked after lunch :

D = sqrt(6² + 8²)

D = sqrt(36 + 64)

D = sqrt(100)

D = 10 km